6y-90=5y-75

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Solution for 6y-90=5y-75 equation:


Simplifying
6y + -90 = 5y + -75

Reorder the terms:
-90 + 6y = 5y + -75

Reorder the terms:
-90 + 6y = -75 + 5y

Solving
-90 + 6y = -75 + 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.
-90 + 6y + -5y = -75 + 5y + -5y

Combine like terms: 6y + -5y = 1y
-90 + 1y = -75 + 5y + -5y

Combine like terms: 5y + -5y = 0
-90 + 1y = -75 + 0
-90 + 1y = -75

Add '90' to each side of the equation.
-90 + 90 + 1y = -75 + 90

Combine like terms: -90 + 90 = 0
0 + 1y = -75 + 90
1y = -75 + 90

Combine like terms: -75 + 90 = 15
1y = 15

Divide each side by '1'.
y = 15

Simplifying
y = 15

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