6(49-6y)-y=35

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Solution for 6(49-6y)-y=35 equation:


Simplifying
6(49 + -6y) + -1y = 35
(49 * 6 + -6y * 6) + -1y = 35
(294 + -36y) + -1y = 35

Combine like terms: -36y + -1y = -37y
294 + -37y = 35

Solving
294 + -37y = 35

Solving for variable 'y'.

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

Add '-294' to each side of the equation.
294 + -294 + -37y = 35 + -294

Combine like terms: 294 + -294 = 0
0 + -37y = 35 + -294
-37y = 35 + -294

Combine like terms: 35 + -294 = -259
-37y = -259

Divide each side by '-37'.
y = 7

Simplifying
y = 7

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