4=4y+6(y-6)

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


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

Reorder the terms:
4 = 4y + 6(-6 + y)
4 = 4y + (-6 * 6 + y * 6)
4 = 4y + (-36 + 6y)

Reorder the terms:
4 = -36 + 4y + 6y

Combine like terms: 4y + 6y = 10y
4 = -36 + 10y

Solving
4 = -36 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
4 + -10y = -36 + 10y + -10y

Combine like terms: 10y + -10y = 0
4 + -10y = -36 + 0
4 + -10y = -36

Add '-4' to each side of the equation.
4 + -4 + -10y = -36 + -4

Combine like terms: 4 + -4 = 0
0 + -10y = -36 + -4
-10y = -36 + -4

Combine like terms: -36 + -4 = -40
-10y = -40

Divide each side by '-10'.
y = 4

Simplifying
y = 4

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