2-3(y+5)=26-5y

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Solution for 2-3(y+5)=26-5y equation: 


Simplifying
2 + -3(y + 5) = 26 + -5y

Reorder the terms:
2 + -3(5 + y) = 26 + -5y
2 + (5 * -3 + y * -3) = 26 + -5y
2 + (-15 + -3y) = 26 + -5y

Combine like terms: 2 + -15 = -13
-13 + -3y = 26 + -5y

Solving
-13 + -3y = 26 + -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.
-13 + -3y + 5y = 26 + -5y + 5y

Combine like terms: -3y + 5y = 2y
-13 + 2y = 26 + -5y + 5y

Combine like terms: -5y + 5y = 0
-13 + 2y = 26 + 0
-13 + 2y = 26

Add '13' to each side of the equation.
-13 + 13 + 2y = 26 + 13

Combine like terms: -13 + 13 = 0
0 + 2y = 26 + 13
2y = 26 + 13

Combine like terms: 26 + 13 = 39
2y = 39

Divide each side by '2'.
y = 19.5

Simplifying
y = 19.5

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