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

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


Simplifying
-2(-2y + 3) + -1(3y + -5) + 2y + 3 = 0

Reorder the terms:
-2(3 + -2y) + -1(3y + -5) + 2y + 3 = 0
(3 * -2 + -2y * -2) + -1(3y + -5) + 2y + 3 = 0
(-6 + 4y) + -1(3y + -5) + 2y + 3 = 0

Reorder the terms:
-6 + 4y + -1(-5 + 3y) + 2y + 3 = 0
-6 + 4y + (-5 * -1 + 3y * -1) + 2y + 3 = 0
-6 + 4y + (5 + -3y) + 2y + 3 = 0

Reorder the terms:
-6 + 5 + 3 + 4y + -3y + 2y = 0

Combine like terms: -6 + 5 = -1
-1 + 3 + 4y + -3y + 2y = 0

Combine like terms: -1 + 3 = 2
2 + 4y + -3y + 2y = 0

Combine like terms: 4y + -3y = 1y
2 + 1y + 2y = 0

Combine like terms: 1y + 2y = 3y
2 + 3y = 0

Solving
2 + 3y = 0

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + 3y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3y = 0 + -2
3y = 0 + -2

Combine like terms: 0 + -2 = -2
3y = -2

Divide each side by '3'.
y = -0.6666666667

Simplifying
y = -0.6666666667

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