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

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Solution for 2(y+2)-3(y-1)=3y-5 equation: 


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

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

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

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

Combine like terms: 4 + 3 = 7
7 + 2y + -3y = 3y + -5

Combine like terms: 2y + -3y = -1y
7 + -1y = 3y + -5

Reorder the terms:
7 + -1y = -5 + 3y

Solving
7 + -1y = -5 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
7 + -1y + -3y = -5 + 3y + -3y

Combine like terms: -1y + -3y = -4y
7 + -4y = -5 + 3y + -3y

Combine like terms: 3y + -3y = 0
7 + -4y = -5 + 0
7 + -4y = -5

Add '-7' to each side of the equation.
7 + -7 + -4y = -5 + -7

Combine like terms: 7 + -7 = 0
0 + -4y = -5 + -7
-4y = -5 + -7

Combine like terms: -5 + -7 = -12
-4y = -12

Divide each side by '-4'.
y = 3

Simplifying
y = 3

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