6(X-7)-7(Y+4)=90

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Solution for 6(X-7)-7(Y+4)=90 equation: 


Simplifying
6(X + -7) + -7(Y + 4) = 90

Reorder the terms:
6(-7 + X) + -7(Y + 4) = 90
(-7 * 6 + X * 6) + -7(Y + 4) = 90
(-42 + 6X) + -7(Y + 4) = 90

Reorder the terms:
-42 + 6X + -7(4 + Y) = 90
-42 + 6X + (4 * -7 + Y * -7) = 90
-42 + 6X + (-28 + -7Y) = 90

Reorder the terms:
-42 + -28 + 6X + -7Y = 90

Combine like terms: -42 + -28 = -70
-70 + 6X + -7Y = 90

Solving
-70 + 6X + -7Y = 90

Solving for variable 'X'.

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

Add '70' to each side of the equation.
-70 + 6X + 70 + -7Y = 90 + 70

Reorder the terms:
-70 + 70 + 6X + -7Y = 90 + 70

Combine like terms: -70 + 70 = 0
0 + 6X + -7Y = 90 + 70
6X + -7Y = 90 + 70

Combine like terms: 90 + 70 = 160
6X + -7Y = 160

Add '7Y' to each side of the equation.
6X + -7Y + 7Y = 160 + 7Y

Combine like terms: -7Y + 7Y = 0
6X + 0 = 160 + 7Y
6X = 160 + 7Y

Divide each side by '6'.
X = 26.66666667 + 1.166666667Y

Simplifying
X = 26.66666667 + 1.166666667Y

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