5y-2=8(y+3)

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


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

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

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

Solving
-2 + 5y = 24 + 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.
-2 + 5y + -8y = 24 + 8y + -8y

Combine like terms: 5y + -8y = -3y
-2 + -3y = 24 + 8y + -8y

Combine like terms: 8y + -8y = 0
-2 + -3y = 24 + 0
-2 + -3y = 24

Add '2' to each side of the equation.
-2 + 2 + -3y = 24 + 2

Combine like terms: -2 + 2 = 0
0 + -3y = 24 + 2
-3y = 24 + 2

Combine like terms: 24 + 2 = 26
-3y = 26

Divide each side by '-3'.
y = -8.666666667

Simplifying
y = -8.666666667

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