42+5y-15=17y-13-2y

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Solution for 42+5y-15=17y-13-2y equation:


Simplifying
42 + 5y + -15 = 17y + -13 + -2y

Reorder the terms:
42 + -15 + 5y = 17y + -13 + -2y

Combine like terms: 42 + -15 = 27
27 + 5y = 17y + -13 + -2y

Reorder the terms:
27 + 5y = -13 + 17y + -2y

Combine like terms: 17y + -2y = 15y
27 + 5y = -13 + 15y

Solving
27 + 5y = -13 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
27 + 5y + -15y = -13 + 15y + -15y

Combine like terms: 5y + -15y = -10y
27 + -10y = -13 + 15y + -15y

Combine like terms: 15y + -15y = 0
27 + -10y = -13 + 0
27 + -10y = -13

Add '-27' to each side of the equation.
27 + -27 + -10y = -13 + -27

Combine like terms: 27 + -27 = 0
0 + -10y = -13 + -27
-10y = -13 + -27

Combine like terms: -13 + -27 = -40
-10y = -40

Divide each side by '-10'.
y = 4

Simplifying
y = 4

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