35(2Y-1)=7(X+4)+3X

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Solution for 35(2Y-1)=7(X+4)+3X equation: 


Simplifying
35(2Y + -1) = 7(X + 4) + 3X

Reorder the terms:
35(-1 + 2Y) = 7(X + 4) + 3X
(-1 * 35 + 2Y * 35) = 7(X + 4) + 3X
(-35 + 70Y) = 7(X + 4) + 3X

Reorder the terms:
-35 + 70Y = 7(4 + X) + 3X
-35 + 70Y = (4 * 7 + X * 7) + 3X
-35 + 70Y = (28 + 7X) + 3X

Combine like terms: 7X + 3X = 10X
-35 + 70Y = 28 + 10X

Solving
-35 + 70Y = 28 + 10X

Solving for variable 'Y'.

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

Add '35' to each side of the equation.
-35 + 35 + 70Y = 28 + 35 + 10X

Combine like terms: -35 + 35 = 0
0 + 70Y = 28 + 35 + 10X
70Y = 28 + 35 + 10X

Combine like terms: 28 + 35 = 63
70Y = 63 + 10X

Divide each side by '70'.
Y = 0.9 + 0.1428571429X

Simplifying
Y = 0.9 + 0.1428571429X

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