3y+2=5(y-6)

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Solution for 3y+2=5(y-6) equation:


Simplifying
3y + 2 = 5(y + -6)

Reorder the terms:
2 + 3y = 5(y + -6)

Reorder the terms:
2 + 3y = 5(-6 + y)
2 + 3y = (-6 * 5 + y * 5)
2 + 3y = (-30 + 5y)

Solving
2 + 3y = -30 + 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.
2 + 3y + -5y = -30 + 5y + -5y

Combine like terms: 3y + -5y = -2y
2 + -2y = -30 + 5y + -5y

Combine like terms: 5y + -5y = 0
2 + -2y = -30 + 0
2 + -2y = -30

Add '-2' to each side of the equation.
2 + -2 + -2y = -30 + -2

Combine like terms: 2 + -2 = 0
0 + -2y = -30 + -2
-2y = -30 + -2

Combine like terms: -30 + -2 = -32
-2y = -32

Divide each side by '-2'.
y = 16

Simplifying
y = 16

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