-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 + -5y + 2 + 3(-2 + y) = 1
-25 + -5y + 2 + (-2 * 3 + y * 3) = 1
-25 + -5y + 2 + (-6 + 3y) = 1

Reorder the terms:
-25 + 2 + -6 + -5y + 3y = 1

Combine like terms: -25 + 2 = -23
-23 + -6 + -5y + 3y = 1

Combine like terms: -23 + -6 = -29
-29 + -5y + 3y = 1

Combine like terms: -5y + 3y = -2y
-29 + -2y = 1

Solving
-29 + -2y = 1

Solving for variable 'y'.

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

Add '29' to each side of the equation.
-29 + 29 + -2y = 1 + 29

Combine like terms: -29 + 29 = 0
0 + -2y = 1 + 29
-2y = 1 + 29

Combine like terms: 1 + 29 = 30
-2y = 30

Divide each side by '-2'.
y = -15

Simplifying
y = -15

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