4y-1+5y+2=3y-8

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Solution for 4y-1+5y+2=3y-8 equation:


Simplifying
4y + -1 + 5y + 2 = 3y + -8

Reorder the terms:
-1 + 2 + 4y + 5y = 3y + -8

Combine like terms: -1 + 2 = 1
1 + 4y + 5y = 3y + -8

Combine like terms: 4y + 5y = 9y
1 + 9y = 3y + -8

Reorder the terms:
1 + 9y = -8 + 3y

Solving
1 + 9y = -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.
1 + 9y + -3y = -8 + 3y + -3y

Combine like terms: 9y + -3y = 6y
1 + 6y = -8 + 3y + -3y

Combine like terms: 3y + -3y = 0
1 + 6y = -8 + 0
1 + 6y = -8

Add '-1' to each side of the equation.
1 + -1 + 6y = -8 + -1

Combine like terms: 1 + -1 = 0
0 + 6y = -8 + -1
6y = -8 + -1

Combine like terms: -8 + -1 = -9
6y = -9

Divide each side by '6'.
y = -1.5

Simplifying
y = -1.5

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