6-6(5-y)=10(y-4)

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Solution for 6-6(5-y)=10(y-4) equation:


Simplifying
6 + -6(5 + -1y) = 10(y + -4)
6 + (5 * -6 + -1y * -6) = 10(y + -4)
6 + (-30 + 6y) = 10(y + -4)

Combine like terms: 6 + -30 = -24
-24 + 6y = 10(y + -4)

Reorder the terms:
-24 + 6y = 10(-4 + y)
-24 + 6y = (-4 * 10 + y * 10)
-24 + 6y = (-40 + 10y)

Solving
-24 + 6y = -40 + 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.
-24 + 6y + -10y = -40 + 10y + -10y

Combine like terms: 6y + -10y = -4y
-24 + -4y = -40 + 10y + -10y

Combine like terms: 10y + -10y = 0
-24 + -4y = -40 + 0
-24 + -4y = -40

Add '24' to each side of the equation.
-24 + 24 + -4y = -40 + 24

Combine like terms: -24 + 24 = 0
0 + -4y = -40 + 24
-4y = -40 + 24

Combine like terms: -40 + 24 = -16
-4y = -16

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

Simplifying
y = 4

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