5y-(3y-2)=10

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Solution for 5y-(3y-2)=10 equation: 


Simplifying
5y + -1(3y + -2) = 10

Reorder the terms:
5y + -1(-2 + 3y) = 10
5y + (-2 * -1 + 3y * -1) = 10
5y + (2 + -3y) = 10

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

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

Solving
2 + 2y = 10

Solving for variable 'y'.

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

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

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

Combine like terms: 10 + -2 = 8
2y = 8

Divide each side by '2'.
y = 4

Simplifying
y = 4

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