12+4y=5(y+2)-6

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Solution for 12+4y=5(y+2)-6 equation:


Simplifying
12 + 4y = 5(y + 2) + -6

Reorder the terms:
12 + 4y = 5(2 + y) + -6
12 + 4y = (2 * 5 + y * 5) + -6
12 + 4y = (10 + 5y) + -6

Reorder the terms:
12 + 4y = 10 + -6 + 5y

Combine like terms: 10 + -6 = 4
12 + 4y = 4 + 5y

Solving
12 + 4y = 4 + 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.
12 + 4y + -5y = 4 + 5y + -5y

Combine like terms: 4y + -5y = -1y
12 + -1y = 4 + 5y + -5y

Combine like terms: 5y + -5y = 0
12 + -1y = 4 + 0
12 + -1y = 4

Add '-12' to each side of the equation.
12 + -12 + -1y = 4 + -12

Combine like terms: 12 + -12 = 0
0 + -1y = 4 + -12
-1y = 4 + -12

Combine like terms: 4 + -12 = -8
-1y = -8

Divide each side by '-1'.
y = 8

Simplifying
y = 8

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