14(500-y)+0.7(20y)=z

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Solution for 14(500-y)+0.7(20y)=z equation:


Simplifying
14(500 + -1y) + 0.7(20y) = z
(500 * 14 + -1y * 14) + 0.7(20y) = z
(7000 + -14y) + 0.7(20y) = z

Remove parenthesis around (20y)
7000 + -14y + 0.7 * 20y = z

Multiply 0.7 * 20
7000 + -14y + 14y = z

Combine like terms: -14y + 14y = 0
7000 + 0 = z
7000 = z

Solving
7000 = z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
7000 + -1z = z + -1z

Combine like terms: z + -1z = 0
7000 + -1z = 0

Add '-7000' to each side of the equation.
7000 + -7000 + -1z = 0 + -7000

Combine like terms: 7000 + -7000 = 0
0 + -1z = 0 + -7000
-1z = 0 + -7000

Combine like terms: 0 + -7000 = -7000
-1z = -7000

Divide each side by '-1'.
z = 7000

Simplifying
z = 7000

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