42+5y-15=17y-13-4y

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Solution for 42+5y-15=17y-13-4y equation: 


Simplifying
42 + 5y + -15 = 17y + -13 + -4y

Reorder the terms:
42 + -15 + 5y = 17y + -13 + -4y

Combine like terms: 42 + -15 = 27
27 + 5y = 17y + -13 + -4y

Reorder the terms:
27 + 5y = -13 + 17y + -4y

Combine like terms: 17y + -4y = 13y
27 + 5y = -13 + 13y

Solving
27 + 5y = -13 + 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.
27 + 5y + -13y = -13 + 13y + -13y

Combine like terms: 5y + -13y = -8y
27 + -8y = -13 + 13y + -13y

Combine like terms: 13y + -13y = 0
27 + -8y = -13 + 0
27 + -8y = -13

Add '-27' to each side of the equation.
27 + -27 + -8y = -13 + -27

Combine like terms: 27 + -27 = 0
0 + -8y = -13 + -27
-8y = -13 + -27

Combine like terms: -13 + -27 = -40
-8y = -40

Divide each side by '-8'.
y = 5

Simplifying
y = 5

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