4-2(-y+1)=-6(-2y+3)-5

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Solution for 4-2(-y+1)=-6(-2y+3)-5 equation: 


Simplifying
4 + -2(-1y + 1) = -6(-2y + 3) + -5

Reorder the terms:
4 + -2(1 + -1y) = -6(-2y + 3) + -5
4 + (1 * -2 + -1y * -2) = -6(-2y + 3) + -5
4 + (-2 + 2y) = -6(-2y + 3) + -5

Combine like terms: 4 + -2 = 2
2 + 2y = -6(-2y + 3) + -5

Reorder the terms:
2 + 2y = -6(3 + -2y) + -5
2 + 2y = (3 * -6 + -2y * -6) + -5
2 + 2y = (-18 + 12y) + -5

Reorder the terms:
2 + 2y = -18 + -5 + 12y

Combine like terms: -18 + -5 = -23
2 + 2y = -23 + 12y

Solving
2 + 2y = -23 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
2 + 2y + -12y = -23 + 12y + -12y

Combine like terms: 2y + -12y = -10y
2 + -10y = -23 + 12y + -12y

Combine like terms: 12y + -12y = 0
2 + -10y = -23 + 0
2 + -10y = -23

Add '-2' to each side of the equation.
2 + -2 + -10y = -23 + -2

Combine like terms: 2 + -2 = 0
0 + -10y = -23 + -2
-10y = -23 + -2

Combine like terms: -23 + -2 = -25
-10y = -25

Divide each side by '-10'.
y = 2.5

Simplifying
y = 2.5

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