3y+7-y-8=-2y+3-3y+13.5

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Solution for 3y+7-y-8=-2y+3-3y+13.5 equation:


Simplifying
3y + 7 + -1y + -8 = -2y + 3 + -3y + 13.5

Reorder the terms:
7 + -8 + 3y + -1y = -2y + 3 + -3y + 13.5

Combine like terms: 7 + -8 = -1
-1 + 3y + -1y = -2y + 3 + -3y + 13.5

Combine like terms: 3y + -1y = 2y
-1 + 2y = -2y + 3 + -3y + 13.5

Reorder the terms:
-1 + 2y = 3 + 13.5 + -2y + -3y

Combine like terms: 3 + 13.5 = 16.5
-1 + 2y = 16.5 + -2y + -3y

Combine like terms: -2y + -3y = -5y
-1 + 2y = 16.5 + -5y

Solving
-1 + 2y = 16.5 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
-1 + 2y + 5y = 16.5 + -5y + 5y

Combine like terms: 2y + 5y = 7y
-1 + 7y = 16.5 + -5y + 5y

Combine like terms: -5y + 5y = 0
-1 + 7y = 16.5 + 0
-1 + 7y = 16.5

Add '1' to each side of the equation.
-1 + 1 + 7y = 16.5 + 1

Combine like terms: -1 + 1 = 0
0 + 7y = 16.5 + 1
7y = 16.5 + 1

Combine like terms: 16.5 + 1 = 17.5
7y = 17.5

Divide each side by '7'.
y = 2.5

Simplifying
y = 2.5

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