5(y-4)=3y+10

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Solution for 5(y-4)=3y+10 equation:


Simplifying
5(y + -4) = 3y + 10

Reorder the terms:
5(-4 + y) = 3y + 10
(-4 * 5 + y * 5) = 3y + 10
(-20 + 5y) = 3y + 10

Reorder the terms:
-20 + 5y = 10 + 3y

Solving
-20 + 5y = 10 + 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.
-20 + 5y + -3y = 10 + 3y + -3y

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

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

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

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

Combine like terms: 10 + 20 = 30
2y = 30

Divide each side by '2'.
y = 15

Simplifying
y = 15

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