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 = -1y
-1 + 2y = 16.5 + -1y

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

Solving for variable 'y'.

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

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

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

Combine like terms: -1y + y = 0
-1 + 3y = 16.5 + 0
-1 + 3y = 16.5

Add '1' to each side of the equation.
-1 + 1 + 3y = 16.5 + 1

Combine like terms: -1 + 1 = 0
0 + 3y = 16.5 + 1
3y = 16.5 + 1

Combine like terms: 16.5 + 1 = 17.5
3y = 17.5

Divide each side by '3'.
y = 5.833333333

Simplifying
y = 5.833333333

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