5y-10=7y-50

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Solution for 5y-10=7y-50 equation:


Simplifying
5y + -10 = 7y + -50

Reorder the terms:
-10 + 5y = 7y + -50

Reorder the terms:
-10 + 5y = -50 + 7y

Solving
-10 + 5y = -50 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-10 + 5y + -7y = -50 + 7y + -7y

Combine like terms: 5y + -7y = -2y
-10 + -2y = -50 + 7y + -7y

Combine like terms: 7y + -7y = 0
-10 + -2y = -50 + 0
-10 + -2y = -50

Add '10' to each side of the equation.
-10 + 10 + -2y = -50 + 10

Combine like terms: -10 + 10 = 0
0 + -2y = -50 + 10
-2y = -50 + 10

Combine like terms: -50 + 10 = -40
-2y = -40

Divide each side by '-2'.
y = 20

Simplifying
y = 20

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