3y+5=7+3(2-y)

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Solution for 3y+5=7+3(2-y) equation:


Simplifying
3y + 5 = 7 + 3(2 + -1y)

Reorder the terms:
5 + 3y = 7 + 3(2 + -1y)
5 + 3y = 7 + (2 * 3 + -1y * 3)
5 + 3y = 7 + (6 + -3y)

Combine like terms: 7 + 6 = 13
5 + 3y = 13 + -3y

Solving
5 + 3y = 13 + -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.
5 + 3y + 3y = 13 + -3y + 3y

Combine like terms: 3y + 3y = 6y
5 + 6y = 13 + -3y + 3y

Combine like terms: -3y + 3y = 0
5 + 6y = 13 + 0
5 + 6y = 13

Add '-5' to each side of the equation.
5 + -5 + 6y = 13 + -5

Combine like terms: 5 + -5 = 0
0 + 6y = 13 + -5
6y = 13 + -5

Combine like terms: 13 + -5 = 8
6y = 8

Divide each side by '6'.
y = 1.333333333

Simplifying
y = 1.333333333

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