3y+5+4y=y+3+2y+10

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Solution for 3y+5+4y=y+3+2y+10 equation:


Simplifying
3y + 5 + 4y = y + 3 + 2y + 10

Reorder the terms:
5 + 3y + 4y = y + 3 + 2y + 10

Combine like terms: 3y + 4y = 7y
5 + 7y = y + 3 + 2y + 10

Reorder the terms:
5 + 7y = 3 + 10 + y + 2y

Combine like terms: 3 + 10 = 13
5 + 7y = 13 + y + 2y

Combine like terms: y + 2y = 3y
5 + 7y = 13 + 3y

Solving
5 + 7y = 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 + 7y + -3y = 13 + 3y + -3y

Combine like terms: 7y + -3y = 4y
5 + 4y = 13 + 3y + -3y

Combine like terms: 3y + -3y = 0
5 + 4y = 13 + 0
5 + 4y = 13

Add '-5' to each side of the equation.
5 + -5 + 4y = 13 + -5

Combine like terms: 5 + -5 = 0
0 + 4y = 13 + -5
4y = 13 + -5

Combine like terms: 13 + -5 = 8
4y = 8

Divide each side by '4'.
y = 2

Simplifying
y = 2

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