37+3y-5=12y-10-3y

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Solution for 37+3y-5=12y-10-3y equation:


Simplifying
37 + 3y + -5 = 12y + -10 + -3y

Reorder the terms:
37 + -5 + 3y = 12y + -10 + -3y

Combine like terms: 37 + -5 = 32
32 + 3y = 12y + -10 + -3y

Reorder the terms:
32 + 3y = -10 + 12y + -3y

Combine like terms: 12y + -3y = 9y
32 + 3y = -10 + 9y

Solving
32 + 3y = -10 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
32 + 3y + -9y = -10 + 9y + -9y

Combine like terms: 3y + -9y = -6y
32 + -6y = -10 + 9y + -9y

Combine like terms: 9y + -9y = 0
32 + -6y = -10 + 0
32 + -6y = -10

Add '-32' to each side of the equation.
32 + -32 + -6y = -10 + -32

Combine like terms: 32 + -32 = 0
0 + -6y = -10 + -32
-6y = -10 + -32

Combine like terms: -10 + -32 = -42
-6y = -42

Divide each side by '-6'.
y = 7

Simplifying
y = 7

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