5y-3(2y-1)=3y+8

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Solution for 5y-3(2y-1)=3y+8 equation:


Simplifying
5y + -3(2y + -1) = 3y + 8

Reorder the terms:
5y + -3(-1 + 2y) = 3y + 8
5y + (-1 * -3 + 2y * -3) = 3y + 8
5y + (3 + -6y) = 3y + 8

Reorder the terms:
3 + 5y + -6y = 3y + 8

Combine like terms: 5y + -6y = -1y
3 + -1y = 3y + 8

Reorder the terms:
3 + -1y = 8 + 3y

Solving
3 + -1y = 8 + 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.
3 + -1y + -3y = 8 + 3y + -3y

Combine like terms: -1y + -3y = -4y
3 + -4y = 8 + 3y + -3y

Combine like terms: 3y + -3y = 0
3 + -4y = 8 + 0
3 + -4y = 8

Add '-3' to each side of the equation.
3 + -3 + -4y = 8 + -3

Combine like terms: 3 + -3 = 0
0 + -4y = 8 + -3
-4y = 8 + -3

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

Divide each side by '-4'.
y = -1.25

Simplifying
y = -1.25

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