3(5z-20)+2y+2=24

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Solution for 3(5z-20)+2y+2=24 equation:


Simplifying
3(5z + -20) + 2y + 2 = 24

Reorder the terms:
3(-20 + 5z) + 2y + 2 = 24
(-20 * 3 + 5z * 3) + 2y + 2 = 24
(-60 + 15z) + 2y + 2 = 24

Reorder the terms:
-60 + 2 + 2y + 15z = 24

Combine like terms: -60 + 2 = -58
-58 + 2y + 15z = 24

Solving
-58 + 2y + 15z = 24

Solving for variable 'y'.

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

Add '58' to each side of the equation.
-58 + 2y + 58 + 15z = 24 + 58

Reorder the terms:
-58 + 58 + 2y + 15z = 24 + 58

Combine like terms: -58 + 58 = 0
0 + 2y + 15z = 24 + 58
2y + 15z = 24 + 58

Combine like terms: 24 + 58 = 82
2y + 15z = 82

Add '-15z' to each side of the equation.
2y + 15z + -15z = 82 + -15z

Combine like terms: 15z + -15z = 0
2y + 0 = 82 + -15z
2y = 82 + -15z

Divide each side by '2'.
y = 41 + -7.5z

Simplifying
y = 41 + -7.5z

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