8y-3(5y-10)=2+7y-24

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Solution for 8y-3(5y-10)=2+7y-24 equation:


Simplifying
8y + -3(5y + -10) = 2 + 7y + -24

Reorder the terms:
8y + -3(-10 + 5y) = 2 + 7y + -24
8y + (-10 * -3 + 5y * -3) = 2 + 7y + -24
8y + (30 + -15y) = 2 + 7y + -24

Reorder the terms:
30 + 8y + -15y = 2 + 7y + -24

Combine like terms: 8y + -15y = -7y
30 + -7y = 2 + 7y + -24

Reorder the terms:
30 + -7y = 2 + -24 + 7y

Combine like terms: 2 + -24 = -22
30 + -7y = -22 + 7y

Solving
30 + -7y = -22 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
30 + -7y + -7y = -22 + 7y + -7y

Combine like terms: -7y + -7y = -14y
30 + -14y = -22 + 7y + -7y

Combine like terms: 7y + -7y = 0
30 + -14y = -22 + 0
30 + -14y = -22

Add '-30' to each side of the equation.
30 + -30 + -14y = -22 + -30

Combine like terms: 30 + -30 = 0
0 + -14y = -22 + -30
-14y = -22 + -30

Combine like terms: -22 + -30 = -52
-14y = -52

Divide each side by '-14'.
y = 3.714285714

Simplifying
y = 3.714285714

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