3(y-5)-7=-4(-3y+2)-3y

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Solution for 3(y-5)-7=-4(-3y+2)-3y equation:


Simplifying
3(y + -5) + -7 = -4(-3y + 2) + -3y

Reorder the terms:
3(-5 + y) + -7 = -4(-3y + 2) + -3y
(-5 * 3 + y * 3) + -7 = -4(-3y + 2) + -3y
(-15 + 3y) + -7 = -4(-3y + 2) + -3y

Reorder the terms:
-15 + -7 + 3y = -4(-3y + 2) + -3y

Combine like terms: -15 + -7 = -22
-22 + 3y = -4(-3y + 2) + -3y

Reorder the terms:
-22 + 3y = -4(2 + -3y) + -3y
-22 + 3y = (2 * -4 + -3y * -4) + -3y
-22 + 3y = (-8 + 12y) + -3y

Combine like terms: 12y + -3y = 9y
-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 = -6y
-22 + -6y = -8 + 9y + -9y

Combine like terms: 9y + -9y = 0
-22 + -6y = -8 + 0
-22 + -6y = -8

Add '22' to each side of the equation.
-22 + 22 + -6y = -8 + 22

Combine like terms: -22 + 22 = 0
0 + -6y = -8 + 22
-6y = -8 + 22

Combine like terms: -8 + 22 = 14
-6y = 14

Divide each side by '-6'.
y = -2.333333333

Simplifying
y = -2.333333333

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