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

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


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

Reorder the terms:
-9(-4 + y) + -7y = 5(3y)
(-4 * -9 + y * -9) + -7y = 5(3y)
(36 + -9y) + -7y = 5(3y)

Combine like terms: -9y + -7y = -16y
36 + -16y = 5(3y)

Remove parenthesis around (3y)
36 + -16y = 5 * 3y

Multiply 5 * 3
36 + -16y = 15y

Solving
36 + -16y = 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
36 + -16y + -15y = 15y + -15y

Combine like terms: -16y + -15y = -31y
36 + -31y = 15y + -15y

Combine like terms: 15y + -15y = 0
36 + -31y = 0

Add '-36' to each side of the equation.
36 + -36 + -31y = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -31y = 0 + -36
-31y = 0 + -36

Combine like terms: 0 + -36 = -36
-31y = -36

Divide each side by '-31'.
y = 1.161290323

Simplifying
y = 1.161290323

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