(3y-11)+(4z-2)+90=180

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Solution for (3y-11)+(4z-2)+90=180 equation:


Simplifying
(3y + -11) + (4z + -2) + 90 = 180

Reorder the terms:
(-11 + 3y) + (4z + -2) + 90 = 180

Remove parenthesis around (-11 + 3y)
-11 + 3y + (4z + -2) + 90 = 180

Reorder the terms:
-11 + 3y + (-2 + 4z) + 90 = 180

Remove parenthesis around (-2 + 4z)
-11 + 3y + -2 + 4z + 90 = 180

Reorder the terms:
-11 + -2 + 90 + 3y + 4z = 180

Combine like terms: -11 + -2 = -13
-13 + 90 + 3y + 4z = 180

Combine like terms: -13 + 90 = 77
77 + 3y + 4z = 180

Solving
77 + 3y + 4z = 180

Solving for variable 'y'.

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

Add '-77' to each side of the equation.
77 + 3y + -77 + 4z = 180 + -77

Reorder the terms:
77 + -77 + 3y + 4z = 180 + -77

Combine like terms: 77 + -77 = 0
0 + 3y + 4z = 180 + -77
3y + 4z = 180 + -77

Combine like terms: 180 + -77 = 103
3y + 4z = 103

Add '-4z' to each side of the equation.
3y + 4z + -4z = 103 + -4z

Combine like terms: 4z + -4z = 0
3y + 0 = 103 + -4z
3y = 103 + -4z

Divide each side by '3'.
y = 34.33333333 + -1.333333333z

Simplifying
y = 34.33333333 + -1.333333333z

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