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

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


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

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

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

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

Reorder the terms:
-4 + 3y = 2 + -5(5 + y)
-4 + 3y = 2 + (5 * -5 + y * -5)
-4 + 3y = 2 + (-25 + -5y)

Combine like terms: 2 + -25 = -23
-4 + 3y = -23 + -5y

Solving
-4 + 3y = -23 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
-4 + 3y + 5y = -23 + -5y + 5y

Combine like terms: 3y + 5y = 8y
-4 + 8y = -23 + -5y + 5y

Combine like terms: -5y + 5y = 0
-4 + 8y = -23 + 0
-4 + 8y = -23

Add '4' to each side of the equation.
-4 + 4 + 8y = -23 + 4

Combine like terms: -4 + 4 = 0
0 + 8y = -23 + 4
8y = -23 + 4

Combine like terms: -23 + 4 = -19
8y = -19

Divide each side by '8'.
y = -2.375

Simplifying
y = -2.375

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