3y-10=5y+3

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


Simplifying
3y + -10 = 5y + 3

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

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

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

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

Combine like terms: 5y + -5y = 0
-10 + -2y = 3 + 0
-10 + -2y = 3

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

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

Combine like terms: 3 + 10 = 13
-2y = 13

Divide each side by '-2'.
y = -6.5

Simplifying
y = -6.5

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