5y-7=8(y-2)

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


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

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

Reorder the terms:
-7 + 5y = 8(-2 + y)
-7 + 5y = (-2 * 8 + y * 8)
-7 + 5y = (-16 + 8y)

Solving
-7 + 5y = -16 + 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.
-7 + 5y + -8y = -16 + 8y + -8y

Combine like terms: 5y + -8y = -3y
-7 + -3y = -16 + 8y + -8y

Combine like terms: 8y + -8y = 0
-7 + -3y = -16 + 0
-7 + -3y = -16

Add '7' to each side of the equation.
-7 + 7 + -3y = -16 + 7

Combine like terms: -7 + 7 = 0
0 + -3y = -16 + 7
-3y = -16 + 7

Combine like terms: -16 + 7 = -9
-3y = -9

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

Simplifying
y = 3

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