2007-11-26 05:26:31 · 13 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Start by distributing the numbers through the parentheses by multiplying:
3(4y + 2) --> 12y + 6
2(1 + 5y) --> 2 + 10y
That makes the equation:
12y + 6 = 2 + 10y + 8
Add the 2 and 8:
12y + 6 = 10y + 10
Subtract 10y from both sides:
2y + 6 = 10
Subtract 6 from both sides:
2y = 4
Divide both sides by 2:
y = 2
Double-check the answer to confirm we didn't make any silly errors:
Left side:
3(4y + 2)
= 3(4(2) + 2)
= 3(8 + 2)
= 3(10)
= 30
Right side:
2(1 + 5y) + 8
= 2(1 + 5(2)) + 8
= 2(1 + 10) + 8
= 2(11) + 8
= 22 + 8
= 30
The sides balance so our answer of y = 2 is correct.
2007-11-26 05:29:36 · answer #1 · answered by Puzzling 7 · 0⤊ 0⤋
Multiply: 3 times (4y + 2) = 12y +6 and multiply 2 times (1 +5y) = 2 + 10y + 8 New equation:
12y +6 = 2 + 10y + 8. Subtract 10y from both sides and you have 2y + 6 = 2 +8, subtract 6 from both sides and we have 2y =4. Divide both sides by 2 and we have 1y = 2. Y = 2.
Check in original equation:
3(8 + 2) = 2 +20 + 8
3 times 10 = 30 thus 30 = 30. Value Y =2
2007-11-26 05:52:37 · answer #2 · answered by gzlakewood@sbcglobal.net 4 · 0⤊ 0⤋
the answer to this equation is y=4. it isn't that hard, first you distrubute the 3 to the 4y and the 4y becomes 12y and the 2 becomes a 6. (3 x 2) then you do the same on the other side.
so the equation looks like this 12y+6=2+10y+8. then subtract 10y from both sides. Equation looks like 2y+6=2+8. then you are left with 2y+6=10, subtract 6 from both sides 2y=4 and then divide both sides by 2 so the answer is y=4!!!
2007-11-26 05:34:57 · answer #3 · answered by Anonymous · 0⤊ 0⤋
distribute the 3 on the left and teh 2 on the right side
12y + 6 = 2 + 10y + 8
simplify the right by adding the like terms of 2 and 8
12y + 6 = 10y + 10
get the y terms together by subtracting 10y over to the left
12y - 10y + 6 = 10
2y + 6 = 10
now move the 6 to the right to get the constants together
2y = 10 -6
2y = 4
finally, divide by the 2 to get y by itself
y = 4/2
y = 2
2007-11-26 05:32:55 · answer #4 · answered by Linda K 5 · 0⤊ 0⤋
12y + 6 = 2 + 10y +8
2y + 6 = 10
2y = 4
y = 2
2007-11-26 05:31:15 · answer #5 · answered by Paul W 3 · 0⤊ 0⤋
12y + 6 = 2 + 10y + 8 = 10y + 10
12y = 10y + 4
2y = 4
y = 2
2007-11-26 05:30:46 · answer #6 · answered by Andrew L 7 · 0⤊ 0⤋
12y+6=2+10y+8
2y+6=2+8
2y+6=10
2y=4
y=2
2007-11-26 05:30:39 · answer #7 · answered by Ashley S 1 · 0⤊ 0⤋
YAY
Step One: 12y+6=2+10y+8
Step Two: 12y = 4 + 10y
Step Three: 2y=4
Answer: Y = 2
2007-11-26 05:31:23 · answer #8 · answered by kellybelly42490 2 · 0⤊ 0⤋
12y+6=2+10y+8.
12y-10y= 4.
2y=4.
Ans. y= 2.
2007-11-26 05:34:14 · answer #9 · answered by Sasi Kumar 4 · 0⤊ 0⤋
12y+6=2+10y+8
12y-10y=10-6
2y=4
y= 4\2
y=2
2007-11-26 05:30:54 · answer #10 · answered by ms-adidas 4 · 0⤊ 0⤋