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

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


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

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

Reorder the terms:
-5 + 5y = 3(-5 + 2y) + (1 + -3y)
-5 + 5y = (-5 * 3 + 2y * 3) + (1 + -3y)
-5 + 5y = (-15 + 6y) + (1 + -3y)

Remove parenthesis around (1 + -3y)
-5 + 5y = -15 + 6y + 1 + -3y

Reorder the terms:
-5 + 5y = -15 + 1 + 6y + -3y

Combine like terms: -15 + 1 = -14
-5 + 5y = -14 + 6y + -3y

Combine like terms: 6y + -3y = 3y
-5 + 5y = -14 + 3y

Solving
-5 + 5y = -14 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-5 + 5y + -3y = -14 + 3y + -3y

Combine like terms: 5y + -3y = 2y
-5 + 2y = -14 + 3y + -3y

Combine like terms: 3y + -3y = 0
-5 + 2y = -14 + 0
-5 + 2y = -14

Add '5' to each side of the equation.
-5 + 5 + 2y = -14 + 5

Combine like terms: -5 + 5 = 0
0 + 2y = -14 + 5
2y = -14 + 5

Combine like terms: -14 + 5 = -9
2y = -9

Divide each side by '2'.
y = -4.5

Simplifying
y = -4.5

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