3(5.25+-0.5y+0.25z)-2y+5z=70

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Solution for 3(5.25+-0.5y+0.25z)-2y+5z=70 equation:


Simplifying
3(5.25 + -0.5y + 0.25z) + -2y + 5z = 70
(5.25 * 3 + -0.5y * 3 + 0.25z * 3) + -2y + 5z = 70
(15.75 + -1.5y + 0.75z) + -2y + 5z = 70

Reorder the terms:
15.75 + -1.5y + -2y + 0.75z + 5z = 70

Combine like terms: -1.5y + -2y = -3.5y
15.75 + -3.5y + 0.75z + 5z = 70

Combine like terms: 0.75z + 5z = 5.75z
15.75 + -3.5y + 5.75z = 70

Solving
15.75 + -3.5y + 5.75z = 70

Solving for variable 'y'.

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

Add '-15.75' to each side of the equation.
15.75 + -3.5y + -15.75 + 5.75z = 70 + -15.75

Reorder the terms:
15.75 + -15.75 + -3.5y + 5.75z = 70 + -15.75

Combine like terms: 15.75 + -15.75 = 0.00
0.00 + -3.5y + 5.75z = 70 + -15.75
-3.5y + 5.75z = 70 + -15.75

Combine like terms: 70 + -15.75 = 54.25
-3.5y + 5.75z = 54.25

Add '-5.75z' to each side of the equation.
-3.5y + 5.75z + -5.75z = 54.25 + -5.75z

Combine like terms: 5.75z + -5.75z = 0.00
-3.5y + 0.00 = 54.25 + -5.75z
-3.5y = 54.25 + -5.75z

Divide each side by '-3.5'.
y = -15.5 + 1.642857143z

Simplifying
y = -15.5 + 1.642857143z

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