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

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


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

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

Reorder the terms:
-3 + 12y = -5(4 + y)
-3 + 12y = (4 * -5 + y * -5)
-3 + 12y = (-20 + -5y)

Solving
-3 + 12y = -20 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
-3 + 12y + 5y = -20 + -5y + 5y

Combine like terms: 12y + 5y = 17y
-3 + 17y = -20 + -5y + 5y

Combine like terms: -5y + 5y = 0
-3 + 17y = -20 + 0
-3 + 17y = -20

Add '3' to each side of the equation.
-3 + 3 + 17y = -20 + 3

Combine like terms: -3 + 3 = 0
0 + 17y = -20 + 3
17y = -20 + 3

Combine like terms: -20 + 3 = -17
17y = -17

Divide each side by '17'.
y = -1

Simplifying
y = -1

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