45+(5y+5)+(4z+9)=180

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Solution for 45+(5y+5)+(4z+9)=180 equation:


Simplifying
45 + (5y + 5) + (4z + 9) = 180

Reorder the terms:
45 + (5 + 5y) + (4z + 9) = 180

Remove parenthesis around (5 + 5y)
45 + 5 + 5y + (4z + 9) = 180

Reorder the terms:
45 + 5 + 5y + (9 + 4z) = 180

Remove parenthesis around (9 + 4z)
45 + 5 + 5y + 9 + 4z = 180

Reorder the terms:
45 + 5 + 9 + 5y + 4z = 180

Combine like terms: 45 + 5 = 50
50 + 9 + 5y + 4z = 180

Combine like terms: 50 + 9 = 59
59 + 5y + 4z = 180

Solving
59 + 5y + 4z = 180

Solving for variable 'y'.

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

Add '-59' to each side of the equation.
59 + 5y + -59 + 4z = 180 + -59

Reorder the terms:
59 + -59 + 5y + 4z = 180 + -59

Combine like terms: 59 + -59 = 0
0 + 5y + 4z = 180 + -59
5y + 4z = 180 + -59

Combine like terms: 180 + -59 = 121
5y + 4z = 121

Add '-4z' to each side of the equation.
5y + 4z + -4z = 121 + -4z

Combine like terms: 4z + -4z = 0
5y + 0 = 121 + -4z
5y = 121 + -4z

Divide each side by '5'.
y = 24.2 + -0.8z

Simplifying
y = 24.2 + -0.8z

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