8y+12=3(y-7)

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Solution for 8y+12=3(y-7) equation:


Simplifying
8y + 12 = 3(y + -7)

Reorder the terms:
12 + 8y = 3(y + -7)

Reorder the terms:
12 + 8y = 3(-7 + y)
12 + 8y = (-7 * 3 + y * 3)
12 + 8y = (-21 + 3y)

Solving
12 + 8y = -21 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
12 + 8y + -3y = -21 + 3y + -3y

Combine like terms: 8y + -3y = 5y
12 + 5y = -21 + 3y + -3y

Combine like terms: 3y + -3y = 0
12 + 5y = -21 + 0
12 + 5y = -21

Add '-12' to each side of the equation.
12 + -12 + 5y = -21 + -12

Combine like terms: 12 + -12 = 0
0 + 5y = -21 + -12
5y = -21 + -12

Combine like terms: -21 + -12 = -33
5y = -33

Divide each side by '5'.
y = -6.6

Simplifying
y = -6.6

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