5(y-1)+4(3y+3)=3(4y-6)

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Solution for 5(y-1)+4(3y+3)=3(4y-6) equation:


Simplifying
5(y + -1) + 4(3y + 3) = 3(4y + -6)

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

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

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

Combine like terms: -5 + 12 = 7
7 + 5y + 12y = 3(4y + -6)

Combine like terms: 5y + 12y = 17y
7 + 17y = 3(4y + -6)

Reorder the terms:
7 + 17y = 3(-6 + 4y)
7 + 17y = (-6 * 3 + 4y * 3)
7 + 17y = (-18 + 12y)

Solving
7 + 17y = -18 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
7 + 17y + -12y = -18 + 12y + -12y

Combine like terms: 17y + -12y = 5y
7 + 5y = -18 + 12y + -12y

Combine like terms: 12y + -12y = 0
7 + 5y = -18 + 0
7 + 5y = -18

Add '-7' to each side of the equation.
7 + -7 + 5y = -18 + -7

Combine like terms: 7 + -7 = 0
0 + 5y = -18 + -7
5y = -18 + -7

Combine like terms: -18 + -7 = -25
5y = -25

Divide each side by '5'.
y = -5

Simplifying
y = -5

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