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

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


Simplifying
(-3y + 4) + -1(-2y + -8) = 4

Reorder the terms:
(4 + -3y) + -1(-2y + -8) = 4

Remove parenthesis around (4 + -3y)
4 + -3y + -1(-2y + -8) = 4

Reorder the terms:
4 + -3y + -1(-8 + -2y) = 4
4 + -3y + (-8 * -1 + -2y * -1) = 4
4 + -3y + (8 + 2y) = 4

Reorder the terms:
4 + 8 + -3y + 2y = 4

Combine like terms: 4 + 8 = 12
12 + -3y + 2y = 4

Combine like terms: -3y + 2y = -1y
12 + -1y = 4

Solving
12 + -1y = 4

Solving for variable 'y'.

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

Add '-12' to each side of the equation.
12 + -12 + -1y = 4 + -12

Combine like terms: 12 + -12 = 0
0 + -1y = 4 + -12
-1y = 4 + -12

Combine like terms: 4 + -12 = -8
-1y = -8

Divide each side by '-1'.
y = 8

Simplifying
y = 8

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