8y+3(y-5)=5(y+2)-2

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


Simplifying
8y + 3(y + -5) = 5(y + 2) + -2

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

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

Combine like terms: 8y + 3y = 11y
-15 + 11y = 5(y + 2) + -2

Reorder the terms:
-15 + 11y = 5(2 + y) + -2
-15 + 11y = (2 * 5 + y * 5) + -2
-15 + 11y = (10 + 5y) + -2

Reorder the terms:
-15 + 11y = 10 + -2 + 5y

Combine like terms: 10 + -2 = 8
-15 + 11y = 8 + 5y

Solving
-15 + 11y = 8 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-15 + 11y + -5y = 8 + 5y + -5y

Combine like terms: 11y + -5y = 6y
-15 + 6y = 8 + 5y + -5y

Combine like terms: 5y + -5y = 0
-15 + 6y = 8 + 0
-15 + 6y = 8

Add '15' to each side of the equation.
-15 + 15 + 6y = 8 + 15

Combine like terms: -15 + 15 = 0
0 + 6y = 8 + 15
6y = 8 + 15

Combine like terms: 8 + 15 = 23
6y = 23

Divide each side by '6'.
y = 3.833333333

Simplifying
y = 3.833333333

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