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

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


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

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

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

Reorder the terms:
4 + 6 + -4y + 2y = -2

Combine like terms: 4 + 6 = 10
10 + -4y + 2y = -2

Combine like terms: -4y + 2y = -2y
10 + -2y = -2

Solving
10 + -2y = -2

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 = -2 + -10

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

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

Divide each side by '-2'.
y = 6

Simplifying
y = 6

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