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

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


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

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

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

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

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

Solving
1 + 5y = -5 + 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 + 5y + -3y = -5 + 3y + -3y

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

Combine like terms: 3y + -3y = 0
1 + 2y = -5 + 0
1 + 2y = -5

Add '-1' to each side of the equation.
1 + -1 + 2y = -5 + -1

Combine like terms: 1 + -1 = 0
0 + 2y = -5 + -1
2y = -5 + -1

Combine like terms: -5 + -1 = -6
2y = -6

Divide each side by '2'.
y = -3

Simplifying
y = -3

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