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

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


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

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

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

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

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

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

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

Solving
-13 + 3y + 4z = 90

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 + 3y + 13 + 4z = 90 + 13

Reorder the terms:
-13 + 13 + 3y + 4z = 90 + 13

Combine like terms: -13 + 13 = 0
0 + 3y + 4z = 90 + 13
3y + 4z = 90 + 13

Combine like terms: 90 + 13 = 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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