6=3y+5(y-2)

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Solution for 6=3y+5(y-2) equation:


Simplifying
6 = 3y + 5(y + -2)

Reorder the terms:
6 = 3y + 5(-2 + y)
6 = 3y + (-2 * 5 + y * 5)
6 = 3y + (-10 + 5y)

Reorder the terms:
6 = -10 + 3y + 5y

Combine like terms: 3y + 5y = 8y
6 = -10 + 8y

Solving
6 = -10 + 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.
6 + -8y = -10 + 8y + -8y

Combine like terms: 8y + -8y = 0
6 + -8y = -10 + 0
6 + -8y = -10

Add '-6' to each side of the equation.
6 + -6 + -8y = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -8y = -10 + -6
-8y = -10 + -6

Combine like terms: -10 + -6 = -16
-8y = -16

Divide each side by '-8'.
y = 2

Simplifying
y = 2

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