15(7.35-0.58y-0.06z)+0.4y+2z-19.1+3(7.35-0.58y-0.06z)+10y-z-23.25=90

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Solution for 15(7.35-0.58y-0.06z)+0.4y+2z-19.1+3(7.35-0.58y-0.06z)+10y-z-23.25=90 equation: 


Simplifying
15(7.35 + -0.58y + -0.06z) + 0.4y + 2z + -19.1 + 3(7.35 + -0.58y + -0.06z) + 10y + -1z + -23.25 = 90
(7.35 * 15 + -0.58y * 15 + -0.06z * 15) + 0.4y + 2z + -19.1 + 3(7.35 + -0.58y + -0.06z) + 10y + -1z + -23.25 = 90
(110.25 + -8.7y + -0.9z) + 0.4y + 2z + -19.1 + 3(7.35 + -0.58y + -0.06z) + 10y + -1z + -23.25 = 90
110.25 + -8.7y + -0.9z + 0.4y + 2z + -19.1 + (7.35 * 3 + -0.58y * 3 + -0.06z * 3) + 10y + -1z + -23.25 = 90
110.25 + -8.7y + -0.9z + 0.4y + 2z + -19.1 + (22.05 + -1.74y + -0.18z) + 10y + -1z + -23.25 = 90

Reorder the terms:
110.25 + -19.1 + 22.05 + -23.25 + -8.7y + 0.4y + -1.74y + 10y + -0.9z + 2z + -0.18z + -1z = 90

Combine like terms: 110.25 + -19.1 = 91.15
91.15 + 22.05 + -23.25 + -8.7y + 0.4y + -1.74y + 10y + -0.9z + 2z + -0.18z + -1z = 90

Combine like terms: 91.15 + 22.05 = 113.2
113.2 + -23.25 + -8.7y + 0.4y + -1.74y + 10y + -0.9z + 2z + -0.18z + -1z = 90

Combine like terms: 113.2 + -23.25 = 89.95
89.95 + -8.7y + 0.4y + -1.74y + 10y + -0.9z + 2z + -0.18z + -1z = 90

Combine like terms: -8.7y + 0.4y = -8.3y
89.95 + -8.3y + -1.74y + 10y + -0.9z + 2z + -0.18z + -1z = 90

Combine like terms: -8.3y + -1.74y = -10.04y
89.95 + -10.04y + 10y + -0.9z + 2z + -0.18z + -1z = 90

Combine like terms: -10.04y + 10y = -0.04y
89.95 + -0.04y + -0.9z + 2z + -0.18z + -1z = 90

Combine like terms: -0.9z + 2z = 1.1z
89.95 + -0.04y + 1.1z + -0.18z + -1z = 90

Combine like terms: 1.1z + -0.18z = 0.92z
89.95 + -0.04y + 0.92z + -1z = 90

Combine like terms: 0.92z + -1z = -0.08z
89.95 + -0.04y + -0.08z = 90

Solving
89.95 + -0.04y + -0.08z = 90

Solving for variable 'y'.

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

Add '-89.95' to each side of the equation.
89.95 + -0.04y + -89.95 + -0.08z = 90 + -89.95

Reorder the terms:
89.95 + -89.95 + -0.04y + -0.08z = 90 + -89.95

Combine like terms: 89.95 + -89.95 = 0.00
0.00 + -0.04y + -0.08z = 90 + -89.95
-0.04y + -0.08z = 90 + -89.95

Combine like terms: 90 + -89.95 = 0.05
-0.04y + -0.08z = 0.05

Add '0.08z' to each side of the equation.
-0.04y + -0.08z + 0.08z = 0.05 + 0.08z

Combine like terms: -0.08z + 0.08z = 0.00
-0.04y + 0.00 = 0.05 + 0.08z
-0.04y = 0.05 + 0.08z

Divide each side by '-0.04'.
y = -1.25 + -2z

Simplifying
y = -1.25 + -2z

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