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

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


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

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

Remove parenthesis around (-2 + y)
-2 + y = 3(y + 5)

Reorder the terms:
-2 + y = 3(5 + y)
-2 + y = (5 * 3 + y * 3)
-2 + y = (15 + 3y)

Solving
-2 + y = 15 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-2 + y + -3y = 15 + 3y + -3y

Combine like terms: y + -3y = -2y
-2 + -2y = 15 + 3y + -3y

Combine like terms: 3y + -3y = 0
-2 + -2y = 15 + 0
-2 + -2y = 15

Add '2' to each side of the equation.
-2 + 2 + -2y = 15 + 2

Combine like terms: -2 + 2 = 0
0 + -2y = 15 + 2
-2y = 15 + 2

Combine like terms: 15 + 2 = 17
-2y = 17

Divide each side by '-2'.
y = -8.5

Simplifying
y = -8.5

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