5z-(13-2y)=59

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Solution for 5z-(13-2y)=59 equation:


Simplifying
5z + -1(13 + -2y) = 59
5z + (13 * -1 + -2y * -1) = 59
5z + (-13 + 2y) = 59

Reorder the terms:
-13 + 2y + 5z = 59

Solving
-13 + 2y + 5z = 59

Solving for variable 'y'.

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

Add '13' to each side of the equation.
-13 + 2y + 13 + 5z = 59 + 13

Reorder the terms:
-13 + 13 + 2y + 5z = 59 + 13

Combine like terms: -13 + 13 = 0
0 + 2y + 5z = 59 + 13
2y + 5z = 59 + 13

Combine like terms: 59 + 13 = 72
2y + 5z = 72

Add '-5z' to each side of the equation.
2y + 5z + -5z = 72 + -5z

Combine like terms: 5z + -5z = 0
2y + 0 = 72 + -5z
2y = 72 + -5z

Divide each side by '2'.
y = 36 + -2.5z

Simplifying
y = 36 + -2.5z

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