3(y-3)=y+4-5(2y-1)

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Solution for 3(y-3)=y+4-5(2y-1) equation:


Simplifying
3(y + -3) = y + 4 + -5(2y + -1)

Reorder the terms:
3(-3 + y) = y + 4 + -5(2y + -1)
(-3 * 3 + y * 3) = y + 4 + -5(2y + -1)
(-9 + 3y) = y + 4 + -5(2y + -1)

Reorder the terms:
-9 + 3y = y + 4 + -5(-1 + 2y)
-9 + 3y = y + 4 + (-1 * -5 + 2y * -5)
-9 + 3y = y + 4 + (5 + -10y)

Reorder the terms:
-9 + 3y = 4 + 5 + y + -10y

Combine like terms: 4 + 5 = 9
-9 + 3y = 9 + y + -10y

Combine like terms: y + -10y = -9y
-9 + 3y = 9 + -9y

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

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

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

Add '9' to each side of the equation.
-9 + 9 + 12y = 9 + 9

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

Combine like terms: 9 + 9 = 18
12y = 18

Divide each side by '12'.
y = 1.5

Simplifying
y = 1.5

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