3(y-3)-5=4(-6y+3)-9y

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Solution for 3(y-3)-5=4(-6y+3)-9y equation:


Simplifying
3(y + -3) + -5 = 4(-6y + 3) + -9y

Reorder the terms:
3(-3 + y) + -5 = 4(-6y + 3) + -9y
(-3 * 3 + y * 3) + -5 = 4(-6y + 3) + -9y
(-9 + 3y) + -5 = 4(-6y + 3) + -9y

Reorder the terms:
-9 + -5 + 3y = 4(-6y + 3) + -9y

Combine like terms: -9 + -5 = -14
-14 + 3y = 4(-6y + 3) + -9y

Reorder the terms:
-14 + 3y = 4(3 + -6y) + -9y
-14 + 3y = (3 * 4 + -6y * 4) + -9y
-14 + 3y = (12 + -24y) + -9y

Combine like terms: -24y + -9y = -33y
-14 + 3y = 12 + -33y

Solving
-14 + 3y = 12 + -33y

Solving for variable 'y'.

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

Add '33y' to each side of the equation.
-14 + 3y + 33y = 12 + -33y + 33y

Combine like terms: 3y + 33y = 36y
-14 + 36y = 12 + -33y + 33y

Combine like terms: -33y + 33y = 0
-14 + 36y = 12 + 0
-14 + 36y = 12

Add '14' to each side of the equation.
-14 + 14 + 36y = 12 + 14

Combine like terms: -14 + 14 = 0
0 + 36y = 12 + 14
36y = 12 + 14

Combine like terms: 12 + 14 = 26
36y = 26

Divide each side by '36'.
y = 0.7222222222

Simplifying
y = 0.7222222222

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