-5(3y-8)+7y=4(y+9)

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Solution for -5(3y-8)+7y=4(y+9) equation:


Simplifying
-5(3y + -8) + 7y = 4(y + 9)

Reorder the terms:
-5(-8 + 3y) + 7y = 4(y + 9)
(-8 * -5 + 3y * -5) + 7y = 4(y + 9)
(40 + -15y) + 7y = 4(y + 9)

Combine like terms: -15y + 7y = -8y
40 + -8y = 4(y + 9)

Reorder the terms:
40 + -8y = 4(9 + y)
40 + -8y = (9 * 4 + y * 4)
40 + -8y = (36 + 4y)

Solving
40 + -8y = 36 + 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.
40 + -8y + -4y = 36 + 4y + -4y

Combine like terms: -8y + -4y = -12y
40 + -12y = 36 + 4y + -4y

Combine like terms: 4y + -4y = 0
40 + -12y = 36 + 0
40 + -12y = 36

Add '-40' to each side of the equation.
40 + -40 + -12y = 36 + -40

Combine like terms: 40 + -40 = 0
0 + -12y = 36 + -40
-12y = 36 + -40

Combine like terms: 36 + -40 = -4
-12y = -4

Divide each side by '-12'.
y = 0.3333333333

Simplifying
y = 0.3333333333

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