3(y-3)-1=-5(-3y+4)-8y

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Solution for 3(y-3)-1=-5(-3y+4)-8y equation:


Simplifying
3(y + -3) + -1 = -5(-3y + 4) + -8y

Reorder the terms:
3(-3 + y) + -1 = -5(-3y + 4) + -8y
(-3 * 3 + y * 3) + -1 = -5(-3y + 4) + -8y
(-9 + 3y) + -1 = -5(-3y + 4) + -8y

Reorder the terms:
-9 + -1 + 3y = -5(-3y + 4) + -8y

Combine like terms: -9 + -1 = -10
-10 + 3y = -5(-3y + 4) + -8y

Reorder the terms:
-10 + 3y = -5(4 + -3y) + -8y
-10 + 3y = (4 * -5 + -3y * -5) + -8y
-10 + 3y = (-20 + 15y) + -8y

Combine like terms: 15y + -8y = 7y
-10 + 3y = -20 + 7y

Solving
-10 + 3y = -20 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-10 + 3y + -7y = -20 + 7y + -7y

Combine like terms: 3y + -7y = -4y
-10 + -4y = -20 + 7y + -7y

Combine like terms: 7y + -7y = 0
-10 + -4y = -20 + 0
-10 + -4y = -20

Add '10' to each side of the equation.
-10 + 10 + -4y = -20 + 10

Combine like terms: -10 + 10 = 0
0 + -4y = -20 + 10
-4y = -20 + 10

Combine like terms: -20 + 10 = -10
-4y = -10

Divide each side by '-4'.
y = 2.5

Simplifying
y = 2.5

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