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

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


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

Reorder the terms:
3(-1 + 2y) + 4(y + 3) = 4(3y + -1) + -5(2y + -1)
(-1 * 3 + 2y * 3) + 4(y + 3) = 4(3y + -1) + -5(2y + -1)
(-3 + 6y) + 4(y + 3) = 4(3y + -1) + -5(2y + -1)

Reorder the terms:
-3 + 6y + 4(3 + y) = 4(3y + -1) + -5(2y + -1)
-3 + 6y + (3 * 4 + y * 4) = 4(3y + -1) + -5(2y + -1)
-3 + 6y + (12 + 4y) = 4(3y + -1) + -5(2y + -1)

Reorder the terms:
-3 + 12 + 6y + 4y = 4(3y + -1) + -5(2y + -1)

Combine like terms: -3 + 12 = 9
9 + 6y + 4y = 4(3y + -1) + -5(2y + -1)

Combine like terms: 6y + 4y = 10y
9 + 10y = 4(3y + -1) + -5(2y + -1)

Reorder the terms:
9 + 10y = 4(-1 + 3y) + -5(2y + -1)
9 + 10y = (-1 * 4 + 3y * 4) + -5(2y + -1)
9 + 10y = (-4 + 12y) + -5(2y + -1)

Reorder the terms:
9 + 10y = -4 + 12y + -5(-1 + 2y)
9 + 10y = -4 + 12y + (-1 * -5 + 2y * -5)
9 + 10y = -4 + 12y + (5 + -10y)

Reorder the terms:
9 + 10y = -4 + 5 + 12y + -10y

Combine like terms: -4 + 5 = 1
9 + 10y = 1 + 12y + -10y

Combine like terms: 12y + -10y = 2y
9 + 10y = 1 + 2y

Solving
9 + 10y = 1 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
9 + 10y + -2y = 1 + 2y + -2y

Combine like terms: 10y + -2y = 8y
9 + 8y = 1 + 2y + -2y

Combine like terms: 2y + -2y = 0
9 + 8y = 1 + 0
9 + 8y = 1

Add '-9' to each side of the equation.
9 + -9 + 8y = 1 + -9

Combine like terms: 9 + -9 = 0
0 + 8y = 1 + -9
8y = 1 + -9

Combine like terms: 1 + -9 = -8
8y = -8

Divide each side by '8'.
y = -1

Simplifying
y = -1

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