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

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


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

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

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

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

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

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

Solving
1 + -1y = 4

Solving for variable 'y'.

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

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

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

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

Divide each side by '-1'.
y = -3

Simplifying
y = -3

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