3(y+3)+5y=(2y+1)+5

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Solution for 3(y+3)+5y=(2y+1)+5 equation:


Simplifying
3(y + 3) + 5y = (2y + 1) + 5

Reorder the terms:
3(3 + y) + 5y = (2y + 1) + 5
(3 * 3 + y * 3) + 5y = (2y + 1) + 5
(9 + 3y) + 5y = (2y + 1) + 5

Combine like terms: 3y + 5y = 8y
9 + 8y = (2y + 1) + 5

Reorder the terms:
9 + 8y = (1 + 2y) + 5

Remove parenthesis around (1 + 2y)
9 + 8y = 1 + 2y + 5

Reorder the terms:
9 + 8y = 1 + 5 + 2y

Combine like terms: 1 + 5 = 6
9 + 8y = 6 + 2y

Solving
9 + 8y = 6 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
9 + 8y + -2y = 6 + 2y + -2y

Combine like terms: 8y + -2y = 6y
9 + 6y = 6 + 2y + -2y

Combine like terms: 2y + -2y = 0
9 + 6y = 6 + 0
9 + 6y = 6

Add '-9' to each side of the equation.
9 + -9 + 6y = 6 + -9

Combine like terms: 9 + -9 = 0
0 + 6y = 6 + -9
6y = 6 + -9

Combine like terms: 6 + -9 = -3
6y = -3

Divide each side by '6'.
y = -0.5

Simplifying
y = -0.5

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