5(3-y)=y+6

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


Simplifying
5(3 + -1y) = y + 6
(3 * 5 + -1y * 5) = y + 6
(15 + -5y) = y + 6

Reorder the terms:
15 + -5y = 6 + y

Solving
15 + -5y = 6 + y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-1y' to each side of the equation.
15 + -5y + -1y = 6 + y + -1y

Combine like terms: -5y + -1y = -6y
15 + -6y = 6 + y + -1y

Combine like terms: y + -1y = 0
15 + -6y = 6 + 0
15 + -6y = 6

Add '-15' to each side of the equation.
15 + -15 + -6y = 6 + -15

Combine like terms: 15 + -15 = 0
0 + -6y = 6 + -15
-6y = 6 + -15

Combine like terms: 6 + -15 = -9
-6y = -9

Divide each side by '-6'.
y = 1.5

Simplifying
y = 1.5

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