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

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


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

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

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

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

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

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

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

Solving
4 + -1y = -3

Solving for variable 'y'.

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

Add '-4' to each side of the equation.
4 + -4 + -1y = -3 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = -3 + -4
-1y = -3 + -4

Combine like terms: -3 + -4 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7

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