-2(y-2)+3(4+3y)=-5

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Solution for -2(y-2)+3(4+3y)=-5 equation: 


Simplifying
-2(y + -2) + 3(4 + 3y) = -5

Reorder the terms:
-2(-2 + y) + 3(4 + 3y) = -5
(-2 * -2 + y * -2) + 3(4 + 3y) = -5
(4 + -2y) + 3(4 + 3y) = -5
4 + -2y + (4 * 3 + 3y * 3) = -5
4 + -2y + (12 + 9y) = -5

Reorder the terms:
4 + 12 + -2y + 9y = -5

Combine like terms: 4 + 12 = 16
16 + -2y + 9y = -5

Combine like terms: -2y + 9y = 7y
16 + 7y = -5

Solving
16 + 7y = -5

Solving for variable 'y'.

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

Add '-16' to each side of the equation.
16 + -16 + 7y = -5 + -16

Combine like terms: 16 + -16 = 0
0 + 7y = -5 + -16
7y = -5 + -16

Combine like terms: -5 + -16 = -21
7y = -21

Divide each side by '7'.
y = -3

Simplifying
y = -3

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