2(y+5)=3(y-15)+20

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Solution for 2(y+5)=3(y-15)+20 equation: 


Simplifying
2(y + 5) = 3(y + -15) + 20

Reorder the terms:
2(5 + y) = 3(y + -15) + 20
(5 * 2 + y * 2) = 3(y + -15) + 20
(10 + 2y) = 3(y + -15) + 20

Reorder the terms:
10 + 2y = 3(-15 + y) + 20
10 + 2y = (-15 * 3 + y * 3) + 20
10 + 2y = (-45 + 3y) + 20

Reorder the terms:
10 + 2y = -45 + 20 + 3y

Combine like terms: -45 + 20 = -25
10 + 2y = -25 + 3y

Solving
10 + 2y = -25 + 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.
10 + 2y + -3y = -25 + 3y + -3y

Combine like terms: 2y + -3y = -1y
10 + -1y = -25 + 3y + -3y

Combine like terms: 3y + -3y = 0
10 + -1y = -25 + 0
10 + -1y = -25

Add '-10' to each side of the equation.
10 + -10 + -1y = -25 + -10

Combine like terms: 10 + -10 = 0
0 + -1y = -25 + -10
-1y = -25 + -10

Combine like terms: -25 + -10 = -35
-1y = -35

Divide each side by '-1'.
y = 35

Simplifying
y = 35

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