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

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


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

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

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

Combine like terms: -15 + -7 = -22
-22 + 3y = -4(-5 + 7) + -9y

Combine like terms: -5 + 7 = 2
-22 + 3y = -4(2) + -9y

Multiply -4 * 2
-22 + 3y = -8 + -9y

Solving
-22 + 3y = -8 + -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.
-22 + 3y + 9y = -8 + -9y + 9y

Combine like terms: 3y + 9y = 12y
-22 + 12y = -8 + -9y + 9y

Combine like terms: -9y + 9y = 0
-22 + 12y = -8 + 0
-22 + 12y = -8

Add '22' to each side of the equation.
-22 + 22 + 12y = -8 + 22

Combine like terms: -22 + 22 = 0
0 + 12y = -8 + 22
12y = -8 + 22

Combine like terms: -8 + 22 = 14
12y = 14

Divide each side by '12'.
y = 1.166666667

Simplifying
y = 1.166666667

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