5y-10+y+42=7y+40-5y

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Solution for 5y-10+y+42=7y+40-5y equation: 


Simplifying
5y + -10 + y + 42 = 7y + 40 + -5y

Reorder the terms:
-10 + 42 + 5y + y = 7y + 40 + -5y

Combine like terms: -10 + 42 = 32
32 + 5y + y = 7y + 40 + -5y

Combine like terms: 5y + y = 6y
32 + 6y = 7y + 40 + -5y

Reorder the terms:
32 + 6y = 40 + 7y + -5y

Combine like terms: 7y + -5y = 2y
32 + 6y = 40 + 2y

Solving
32 + 6y = 40 + 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.
32 + 6y + -2y = 40 + 2y + -2y

Combine like terms: 6y + -2y = 4y
32 + 4y = 40 + 2y + -2y

Combine like terms: 2y + -2y = 0
32 + 4y = 40 + 0
32 + 4y = 40

Add '-32' to each side of the equation.
32 + -32 + 4y = 40 + -32

Combine like terms: 32 + -32 = 0
0 + 4y = 40 + -32
4y = 40 + -32

Combine like terms: 40 + -32 = 8
4y = 8

Divide each side by '4'.
y = 2

Simplifying
y = 2

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