4y-10+y+42=5+7y+35-4y

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Solution for 4y-10+y+42=5+7y+35-4y equation: 


Simplifying
4y + -10 + y + 42 = 5 + 7y + 35 + -4y

Reorder the terms:
-10 + 42 + 4y + y = 5 + 7y + 35 + -4y

Combine like terms: -10 + 42 = 32
32 + 4y + y = 5 + 7y + 35 + -4y

Combine like terms: 4y + y = 5y
32 + 5y = 5 + 7y + 35 + -4y

Reorder the terms:
32 + 5y = 5 + 35 + 7y + -4y

Combine like terms: 5 + 35 = 40
32 + 5y = 40 + 7y + -4y

Combine like terms: 7y + -4y = 3y
32 + 5y = 40 + 3y

Solving
32 + 5y = 40 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
32 + 5y + -3y = 40 + 3y + -3y

Combine like terms: 5y + -3y = 2y
32 + 2y = 40 + 3y + -3y

Combine like terms: 3y + -3y = 0
32 + 2y = 40 + 0
32 + 2y = 40

Add '-32' to each side of the equation.
32 + -32 + 2y = 40 + -32

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

Combine like terms: 40 + -32 = 8
2y = 8

Divide each side by '2'.
y = 4

Simplifying
y = 4

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