5y-2(y-4)=13

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Solution for 5y-2(y-4)=13 equation:


Simplifying
5y + -2(y + -4) = 13

Reorder the terms:
5y + -2(-4 + y) = 13
5y + (-4 * -2 + y * -2) = 13
5y + (8 + -2y) = 13

Reorder the terms:
8 + 5y + -2y = 13

Combine like terms: 5y + -2y = 3y
8 + 3y = 13

Solving
8 + 3y = 13

Solving for variable 'y'.

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

Add '-8' to each side of the equation.
8 + -8 + 3y = 13 + -8

Combine like terms: 8 + -8 = 0
0 + 3y = 13 + -8
3y = 13 + -8

Combine like terms: 13 + -8 = 5
3y = 5

Divide each side by '3'.
y = 1.666666667

Simplifying
y = 1.666666667

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