5(y-4)=2(y+5)

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Solution for 5(y-4)=2(y+5) equation:


Simplifying
5(y + -4) = 2(y + 5)

Reorder the terms:
5(-4 + y) = 2(y + 5)
(-4 * 5 + y * 5) = 2(y + 5)
(-20 + 5y) = 2(y + 5)

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

Solving
-20 + 5y = 10 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-20 + 5y + -2y = 10 + 2y + -2y

Combine like terms: 5y + -2y = 3y
-20 + 3y = 10 + 2y + -2y

Combine like terms: 2y + -2y = 0
-20 + 3y = 10 + 0
-20 + 3y = 10

Add '20' to each side of the equation.
-20 + 20 + 3y = 10 + 20

Combine like terms: -20 + 20 = 0
0 + 3y = 10 + 20
3y = 10 + 20

Combine like terms: 10 + 20 = 30
3y = 30

Divide each side by '3'.
y = 10

Simplifying
y = 10

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