6y-16=-4(y-6)

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Solution for 6y-16=-4(y-6) equation:


Simplifying
6y + -16 = -4(y + -6)

Reorder the terms:
-16 + 6y = -4(y + -6)

Reorder the terms:
-16 + 6y = -4(-6 + y)
-16 + 6y = (-6 * -4 + y * -4)
-16 + 6y = (24 + -4y)

Solving
-16 + 6y = 24 + -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.
-16 + 6y + 4y = 24 + -4y + 4y

Combine like terms: 6y + 4y = 10y
-16 + 10y = 24 + -4y + 4y

Combine like terms: -4y + 4y = 0
-16 + 10y = 24 + 0
-16 + 10y = 24

Add '16' to each side of the equation.
-16 + 16 + 10y = 24 + 16

Combine like terms: -16 + 16 = 0
0 + 10y = 24 + 16
10y = 24 + 16

Combine like terms: 24 + 16 = 40
10y = 40

Divide each side by '10'.
y = 4

Simplifying
y = 4

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