8y-6(y-4)=4-9(y-4)

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Solution for 8y-6(y-4)=4-9(y-4) equation:


Simplifying
8y + -6(y + -4) = 4 + -9(y + -4)

Reorder the terms:
8y + -6(-4 + y) = 4 + -9(y + -4)
8y + (-4 * -6 + y * -6) = 4 + -9(y + -4)
8y + (24 + -6y) = 4 + -9(y + -4)

Reorder the terms:
24 + 8y + -6y = 4 + -9(y + -4)

Combine like terms: 8y + -6y = 2y
24 + 2y = 4 + -9(y + -4)

Reorder the terms:
24 + 2y = 4 + -9(-4 + y)
24 + 2y = 4 + (-4 * -9 + y * -9)
24 + 2y = 4 + (36 + -9y)

Combine like terms: 4 + 36 = 40
24 + 2y = 40 + -9y

Solving
24 + 2y = 40 + -9y

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
24 + 2y + 9y = 40 + -9y + 9y

Combine like terms: 2y + 9y = 11y
24 + 11y = 40 + -9y + 9y

Combine like terms: -9y + 9y = 0
24 + 11y = 40 + 0
24 + 11y = 40

Add '-24' to each side of the equation.
24 + -24 + 11y = 40 + -24

Combine like terms: 24 + -24 = 0
0 + 11y = 40 + -24
11y = 40 + -24

Combine like terms: 40 + -24 = 16
11y = 16

Divide each side by '11'.
y = 1.454545455

Simplifying
y = 1.454545455

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