2y+42=5(y+3)

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Solution for 2y+42=5(y+3) equation: 


Simplifying
2y + 42 = 5(y + 3)

Reorder the terms:
42 + 2y = 5(y + 3)

Reorder the terms:
42 + 2y = 5(3 + y)
42 + 2y = (3 * 5 + y * 5)
42 + 2y = (15 + 5y)

Solving
42 + 2y = 15 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
42 + 2y + -5y = 15 + 5y + -5y

Combine like terms: 2y + -5y = -3y
42 + -3y = 15 + 5y + -5y

Combine like terms: 5y + -5y = 0
42 + -3y = 15 + 0
42 + -3y = 15

Add '-42' to each side of the equation.
42 + -42 + -3y = 15 + -42

Combine like terms: 42 + -42 = 0
0 + -3y = 15 + -42
-3y = 15 + -42

Combine like terms: 15 + -42 = -27
-3y = -27

Divide each side by '-3'.
y = 9

Simplifying
y = 9

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