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

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


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

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

Reorder the terms:
-3 + 3y = 5y + 4 + -2(-4 + -2y)
-3 + 3y = 5y + 4 + (-4 * -2 + -2y * -2)
-3 + 3y = 5y + 4 + (8 + 4y)

Reorder the terms:
-3 + 3y = 4 + 8 + 5y + 4y

Combine like terms: 4 + 8 = 12
-3 + 3y = 12 + 5y + 4y

Combine like terms: 5y + 4y = 9y
-3 + 3y = 12 + 9y

Solving
-3 + 3y = 12 + 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.
-3 + 3y + -9y = 12 + 9y + -9y

Combine like terms: 3y + -9y = -6y
-3 + -6y = 12 + 9y + -9y

Combine like terms: 9y + -9y = 0
-3 + -6y = 12 + 0
-3 + -6y = 12

Add '3' to each side of the equation.
-3 + 3 + -6y = 12 + 3

Combine like terms: -3 + 3 = 0
0 + -6y = 12 + 3
-6y = 12 + 3

Combine like terms: 12 + 3 = 15
-6y = 15

Divide each side by '-6'.
y = -2.5

Simplifying
y = -2.5

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