7y-10=5y-42

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Solution for 7y-10=5y-42 equation: 


Simplifying
7y + -10 = 5y + -42

Reorder the terms:
-10 + 7y = 5y + -42

Reorder the terms:
-10 + 7y = -42 + 5y

Solving
-10 + 7y = -42 + 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.
-10 + 7y + -5y = -42 + 5y + -5y

Combine like terms: 7y + -5y = 2y
-10 + 2y = -42 + 5y + -5y

Combine like terms: 5y + -5y = 0
-10 + 2y = -42 + 0
-10 + 2y = -42

Add '10' to each side of the equation.
-10 + 10 + 2y = -42 + 10

Combine like terms: -10 + 10 = 0
0 + 2y = -42 + 10
2y = -42 + 10

Combine like terms: -42 + 10 = -32
2y = -32

Divide each side by '2'.
y = -16

Simplifying
y = -16

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