3(y-5)=8y-10

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Solution for 3(y-5)=8y-10 equation:


Simplifying
3(y + -5) = 8y + -10

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

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

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

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-15 + 3y + -8y = -10 + 8y + -8y

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

Combine like terms: 8y + -8y = 0
-15 + -5y = -10 + 0
-15 + -5y = -10

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

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

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

Divide each side by '-5'.
y = -1

Simplifying
y = -1

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