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

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


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

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

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

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

Reorder the terms:
4 + 5 + -3y + 2y = 6

Combine like terms: 4 + 5 = 9
9 + -3y + 2y = 6

Combine like terms: -3y + 2y = -1y
9 + -1y = 6

Solving
9 + -1y = 6

Solving for variable 'y'.

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

Add '-9' to each side of the equation.
9 + -9 + -1y = 6 + -9

Combine like terms: 9 + -9 = 0
0 + -1y = 6 + -9
-1y = 6 + -9

Combine like terms: 6 + -9 = -3
-1y = -3

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

Simplifying
y = 3

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