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 = 21
3y = 21

Divide each side by '3'.
y = 7

Simplifying
y = 7

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