5y-30+7y=2y-10

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Solution for 5y-30+7y=2y-10 equation:


Simplifying
5y + -30 + 7y = 2y + -10

Reorder the terms:
-30 + 5y + 7y = 2y + -10

Combine like terms: 5y + 7y = 12y
-30 + 12y = 2y + -10

Reorder the terms:
-30 + 12y = -10 + 2y

Solving
-30 + 12y = -10 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-30 + 12y + -2y = -10 + 2y + -2y

Combine like terms: 12y + -2y = 10y
-30 + 10y = -10 + 2y + -2y

Combine like terms: 2y + -2y = 0
-30 + 10y = -10 + 0
-30 + 10y = -10

Add '30' to each side of the equation.
-30 + 30 + 10y = -10 + 30

Combine like terms: -30 + 30 = 0
0 + 10y = -10 + 30
10y = -10 + 30

Combine like terms: -10 + 30 = 20
10y = 20

Divide each side by '10'.
y = 2

Simplifying
y = 2

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