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

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


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

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

Reorder the terms:
12 + 6y = 4(-5 + y)
12 + 6y = (-5 * 4 + y * 4)
12 + 6y = (-20 + 4y)

Solving
12 + 6y = -20 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
12 + 6y + -4y = -20 + 4y + -4y

Combine like terms: 6y + -4y = 2y
12 + 2y = -20 + 4y + -4y

Combine like terms: 4y + -4y = 0
12 + 2y = -20 + 0
12 + 2y = -20

Add '-12' to each side of the equation.
12 + -12 + 2y = -20 + -12

Combine like terms: 12 + -12 = 0
0 + 2y = -20 + -12
2y = -20 + -12

Combine like terms: -20 + -12 = -32
2y = -32

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

Simplifying
y = -16

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