(47*X)+(18*(Y+1))=846.5

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Solution for (47*X)+(18*(Y+1))=846.5 equation: 


Simplifying
(47X) + (18(Y + 1)) = 846.5

Reorder the terms:
(47X) + (18(1 + Y)) = 846.5
(47X) + ((1 * 18 + Y * 18)) = 846.5
(47X) + ((18 + 18Y)) = 846.5
(47X) + (18 + 18Y) = 846.5

Remove parenthesis around (18 + 18Y)
(47X) + 18 + 18Y = 846.5

Reorder the terms:
18 + (47X) + 18Y = 846.5

Solving
18 + (47X) + 18Y = 846.5

Solving for variable 'X'.

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

Add '-18' to each side of the equation.
18 + (47X) + -18 + 18Y = 846.5 + -18

Reorder the terms:
18 + -18 + (47X) + 18Y = 846.5 + -18

Combine like terms: 18 + -18 = 0
0 + (47X) + 18Y = 846.5 + -18
(47X) + 18Y = 846.5 + -18

Combine like terms: 846.5 + -18 = 828.5
(47X) + 18Y = 828.5

Add '-18Y' to each side of the equation.
(47X) + 18Y + -18Y = 828.5 + -18Y

Combine like terms: 18Y + -18Y = 0
(47X) + 0 = 828.5 + -18Y
(47X) = 828.5 + -18Y

Divide each side by '47'.
X = 17.62765957 + -0.3829787234Y

Simplifying
X = 17.62765957 + -0.3829787234Y

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