5y+3=3y+10

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


Simplifying
5y + 3 = 3y + 10

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

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

Solving
3 + 5y = 10 + 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.
3 + 5y + -3y = 10 + 3y + -3y

Combine like terms: 5y + -3y = 2y
3 + 2y = 10 + 3y + -3y

Combine like terms: 3y + -3y = 0
3 + 2y = 10 + 0
3 + 2y = 10

Add '-3' to each side of the equation.
3 + -3 + 2y = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 2y = 10 + -3
2y = 10 + -3

Combine like terms: 10 + -3 = 7
2y = 7

Divide each side by '2'.
y = 3.5

Simplifying
y = 3.5

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