37+5y-15=17y-10-4y

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Solution for 37+5y-15=17y-10-4y equation:


Simplifying
37 + 5y + -15 = 17y + -10 + -4y

Reorder the terms:
37 + -15 + 5y = 17y + -10 + -4y

Combine like terms: 37 + -15 = 22
22 + 5y = 17y + -10 + -4y

Reorder the terms:
22 + 5y = -10 + 17y + -4y

Combine like terms: 17y + -4y = 13y
22 + 5y = -10 + 13y

Solving
22 + 5y = -10 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
22 + 5y + -13y = -10 + 13y + -13y

Combine like terms: 5y + -13y = -8y
22 + -8y = -10 + 13y + -13y

Combine like terms: 13y + -13y = 0
22 + -8y = -10 + 0
22 + -8y = -10

Add '-22' to each side of the equation.
22 + -22 + -8y = -10 + -22

Combine like terms: 22 + -22 = 0
0 + -8y = -10 + -22
-8y = -10 + -22

Combine like terms: -10 + -22 = -32
-8y = -32

Divide each side by '-8'.
y = 4

Simplifying
y = 4

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