-3(2y+6)+4(2y+2)=8

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Solution for -3(2y+6)+4(2y+2)=8 equation: 


Simplifying
-3(2y + 6) + 4(2y + 2) = 8

Reorder the terms:
-3(6 + 2y) + 4(2y + 2) = 8
(6 * -3 + 2y * -3) + 4(2y + 2) = 8
(-18 + -6y) + 4(2y + 2) = 8

Reorder the terms:
-18 + -6y + 4(2 + 2y) = 8
-18 + -6y + (2 * 4 + 2y * 4) = 8
-18 + -6y + (8 + 8y) = 8

Reorder the terms:
-18 + 8 + -6y + 8y = 8

Combine like terms: -18 + 8 = -10
-10 + -6y + 8y = 8

Combine like terms: -6y + 8y = 2y
-10 + 2y = 8

Solving
-10 + 2y = 8

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '10' to each side of the equation.
-10 + 10 + 2y = 8 + 10

Combine like terms: -10 + 10 = 0
0 + 2y = 8 + 10
2y = 8 + 10

Combine like terms: 8 + 10 = 18
2y = 18

Divide each side by '2'.
y = 9

Simplifying
y = 9

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