2y-40=7y+10

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Solution for 2y-40=7y+10 equation: 


Simplifying
2y + -40 = 7y + 10

Reorder the terms:
-40 + 2y = 7y + 10

Reorder the terms:
-40 + 2y = 10 + 7y

Solving
-40 + 2y = 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.
-40 + 2y + -7y = 10 + 7y + -7y

Combine like terms: 2y + -7y = -5y
-40 + -5y = 10 + 7y + -7y

Combine like terms: 7y + -7y = 0
-40 + -5y = 10 + 0
-40 + -5y = 10

Add '40' to each side of the equation.
-40 + 40 + -5y = 10 + 40

Combine like terms: -40 + 40 = 0
0 + -5y = 10 + 40
-5y = 10 + 40

Combine like terms: 10 + 40 = 50
-5y = 50

Divide each side by '-5'.
y = -10

Simplifying
y = -10

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