y=3+5(y-2)

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


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

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

Combine like terms: 3 + -10 = -7
y = -7 + 5y

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

Combine like terms: y + -5y = -4y
-4y = -7 + 5y + -5y

Combine like terms: 5y + -5y = 0
-4y = -7 + 0
-4y = -7

Divide each side by '-4'.
y = 1.75

Simplifying
y = 1.75

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