5y+20=7y-10

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Solution for 5y+20=7y-10 equation:


Simplifying
5y + 20 = 7y + -10

Reorder the terms:
20 + 5y = 7y + -10

Reorder the terms:
20 + 5y = -10 + 7y

Solving
20 + 5y = -10 + 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.
20 + 5y + -7y = -10 + 7y + -7y

Combine like terms: 5y + -7y = -2y
20 + -2y = -10 + 7y + -7y

Combine like terms: 7y + -7y = 0
20 + -2y = -10 + 0
20 + -2y = -10

Add '-20' to each side of the equation.
20 + -20 + -2y = -10 + -20

Combine like terms: 20 + -20 = 0
0 + -2y = -10 + -20
-2y = -10 + -20

Combine like terms: -10 + -20 = -30
-2y = -30

Divide each side by '-2'.
y = 15

Simplifying
y = 15

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