6y+42=2y-6

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Solution for 6y+42=2y-6 equation:


Simplifying
6y + 42 = 2y + -6

Reorder the terms:
42 + 6y = 2y + -6

Reorder the terms:
42 + 6y = -6 + 2y

Solving
42 + 6y = -6 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
42 + 6y + -2y = -6 + 2y + -2y

Combine like terms: 6y + -2y = 4y
42 + 4y = -6 + 2y + -2y

Combine like terms: 2y + -2y = 0
42 + 4y = -6 + 0
42 + 4y = -6

Add '-42' to each side of the equation.
42 + -42 + 4y = -6 + -42

Combine like terms: 42 + -42 = 0
0 + 4y = -6 + -42
4y = -6 + -42

Combine like terms: -6 + -42 = -48
4y = -48

Divide each side by '4'.
y = -12

Simplifying
y = -12

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