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

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


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

Reorder the terms:
-5(5 + y) + 2 = 3(y + -2) + -1
(5 * -5 + y * -5) + 2 = 3(y + -2) + -1
(-25 + -5y) + 2 = 3(y + -2) + -1

Reorder the terms:
-25 + 2 + -5y = 3(y + -2) + -1

Combine like terms: -25 + 2 = -23
-23 + -5y = 3(y + -2) + -1

Reorder the terms:
-23 + -5y = 3(-2 + y) + -1
-23 + -5y = (-2 * 3 + y * 3) + -1
-23 + -5y = (-6 + 3y) + -1

Reorder the terms:
-23 + -5y = -6 + -1 + 3y

Combine like terms: -6 + -1 = -7
-23 + -5y = -7 + 3y

Solving
-23 + -5y = -7 + 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.
-23 + -5y + -3y = -7 + 3y + -3y

Combine like terms: -5y + -3y = -8y
-23 + -8y = -7 + 3y + -3y

Combine like terms: 3y + -3y = 0
-23 + -8y = -7 + 0
-23 + -8y = -7

Add '23' to each side of the equation.
-23 + 23 + -8y = -7 + 23

Combine like terms: -23 + 23 = 0
0 + -8y = -7 + 23
-8y = -7 + 23

Combine like terms: -7 + 23 = 16
-8y = 16

Divide each side by '-8'.
y = -2

Simplifying
y = -2

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