5=2y+3(y+5)

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


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

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

Reorder the terms:
5 = 15 + 2y + 3y

Combine like terms: 2y + 3y = 5y
5 = 15 + 5y

Solving
5 = 15 + 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.
5 + -5y = 15 + 5y + -5y

Combine like terms: 5y + -5y = 0
5 + -5y = 15 + 0
5 + -5y = 15

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

Combine like terms: 5 + -5 = 0
0 + -5y = 15 + -5
-5y = 15 + -5

Combine like terms: 15 + -5 = 10
-5y = 10

Divide each side by '-5'.
y = -2

Simplifying
y = -2

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