2-5y=3(y-11)-5

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Solution for 2-5y=3(y-11)-5 equation: 


Simplifying
2 + -5y = 3(y + -11) + -5

Reorder the terms:
2 + -5y = 3(-11 + y) + -5
2 + -5y = (-11 * 3 + y * 3) + -5
2 + -5y = (-33 + 3y) + -5

Reorder the terms:
2 + -5y = -33 + -5 + 3y

Combine like terms: -33 + -5 = -38
2 + -5y = -38 + 3y

Solving
2 + -5y = -38 + 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.
2 + -5y + -3y = -38 + 3y + -3y

Combine like terms: -5y + -3y = -8y
2 + -8y = -38 + 3y + -3y

Combine like terms: 3y + -3y = 0
2 + -8y = -38 + 0
2 + -8y = -38

Add '-2' to each side of the equation.
2 + -2 + -8y = -38 + -2

Combine like terms: 2 + -2 = 0
0 + -8y = -38 + -2
-8y = -38 + -2

Combine like terms: -38 + -2 = -40
-8y = -40

Divide each side by '-8'.
y = 5

Simplifying
y = 5

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