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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