2(4y-5)=3y+15

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Solution for 2(4y-5)=3y+15 equation:


Simplifying
2(4y + -5) = 3y + 15

Reorder the terms:
2(-5 + 4y) = 3y + 15
(-5 * 2 + 4y * 2) = 3y + 15
(-10 + 8y) = 3y + 15

Reorder the terms:
-10 + 8y = 15 + 3y

Solving
-10 + 8y = 15 + 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 + 8y + -3y = 15 + 3y + -3y

Combine like terms: 8y + -3y = 5y
-10 + 5y = 15 + 3y + -3y

Combine like terms: 3y + -3y = 0
-10 + 5y = 15 + 0
-10 + 5y = 15

Add '10' to each side of the equation.
-10 + 10 + 5y = 15 + 10

Combine like terms: -10 + 10 = 0
0 + 5y = 15 + 10
5y = 15 + 10

Combine like terms: 15 + 10 = 25
5y = 25

Divide each side by '5'.
y = 5

Simplifying
y = 5

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