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

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


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

Reorder the terms:
8y + 3(-7 + y) = 5(y + 2)
8y + (-7 * 3 + y * 3) = 5(y + 2)
8y + (-21 + 3y) = 5(y + 2)

Reorder the terms:
-21 + 8y + 3y = 5(y + 2)

Combine like terms: 8y + 3y = 11y
-21 + 11y = 5(y + 2)

Reorder the terms:
-21 + 11y = 5(2 + y)
-21 + 11y = (2 * 5 + y * 5)
-21 + 11y = (10 + 5y)

Solving
-21 + 11y = 10 + 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.
-21 + 11y + -5y = 10 + 5y + -5y

Combine like terms: 11y + -5y = 6y
-21 + 6y = 10 + 5y + -5y

Combine like terms: 5y + -5y = 0
-21 + 6y = 10 + 0
-21 + 6y = 10

Add '21' to each side of the equation.
-21 + 21 + 6y = 10 + 21

Combine like terms: -21 + 21 = 0
0 + 6y = 10 + 21
6y = 10 + 21

Combine like terms: 10 + 21 = 31
6y = 31

Divide each side by '6'.
y = 5.166666667

Simplifying
y = 5.166666667

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