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(1 + -3y)

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

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

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

Combine like terms: -15 + -1 = -16
-5 + 5y = -16 + 6y + 3y

Combine like terms: 6y + 3y = 9y
-5 + 5y = -16 + 9y

Solving
-5 + 5y = -16 + 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.
-5 + 5y + -9y = -16 + 9y + -9y

Combine like terms: 5y + -9y = -4y
-5 + -4y = -16 + 9y + -9y

Combine like terms: 9y + -9y = 0
-5 + -4y = -16 + 0
-5 + -4y = -16

Add '5' to each side of the equation.
-5 + 5 + -4y = -16 + 5

Combine like terms: -5 + 5 = 0
0 + -4y = -16 + 5
-4y = -16 + 5

Combine like terms: -16 + 5 = -11
-4y = -11

Divide each side by '-4'.
y = 2.75

Simplifying
y = 2.75

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