51x+7(g-h)=10y+59(10g+28h)

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Solution for 51x+7(g-h)=10y+59(10g+28h) equation: 


Simplifying
51x + 7(g + -1h) = 10y + 59(10g + 28h)
51x + (g * 7 + -1h * 7) = 10y + 59(10g + 28h)
51x + (7g + -7h) = 10y + 59(10g + 28h)

Reorder the terms:
7g + -7h + 51x = 10y + 59(10g + 28h)
7g + -7h + 51x = 10y + (10g * 59 + 28h * 59)
7g + -7h + 51x = 10y + (590g + 1652h)

Reorder the terms:
7g + -7h + 51x = 590g + 1652h + 10y

Solving
7g + -7h + 51x = 590g + 1652h + 10y

Solving for variable 'g'.

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

Add '-590g' to each side of the equation.
7g + -7h + -590g + 51x = 590g + 1652h + -590g + 10y

Reorder the terms:
7g + -590g + -7h + 51x = 590g + 1652h + -590g + 10y

Combine like terms: 7g + -590g = -583g
-583g + -7h + 51x = 590g + 1652h + -590g + 10y

Reorder the terms:
-583g + -7h + 51x = 590g + -590g + 1652h + 10y

Combine like terms: 590g + -590g = 0
-583g + -7h + 51x = 0 + 1652h + 10y
-583g + -7h + 51x = 1652h + 10y

Add '7h' to each side of the equation.
-583g + -7h + 7h + 51x = 1652h + 7h + 10y

Combine like terms: -7h + 7h = 0
-583g + 0 + 51x = 1652h + 7h + 10y
-583g + 51x = 1652h + 7h + 10y

Combine like terms: 1652h + 7h = 1659h
-583g + 51x = 1659h + 10y

Add '-51x' to each side of the equation.
-583g + 51x + -51x = 1659h + -51x + 10y

Combine like terms: 51x + -51x = 0
-583g + 0 = 1659h + -51x + 10y
-583g = 1659h + -51x + 10y

Divide each side by '-583'.
g = -2.845626072h + 0.08747855918x + -0.01715265866y

Simplifying
g = -2.845626072h + 0.08747855918x + -0.01715265866y

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