(49-7y)=5x+3y+14

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Solution for (49-7y)=5x+3y+14 equation:


Simplifying
(49 + -7y) = 5x + 3y + 14

Remove parenthesis around (49 + -7y)
49 + -7y = 5x + 3y + 14

Reorder the terms:
49 + -7y = 14 + 5x + 3y

Solving
49 + -7y = 14 + 5x + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
49 + -7y + -3y = 14 + 5x + 3y + -3y

Combine like terms: -7y + -3y = -10y
49 + -10y = 14 + 5x + 3y + -3y

Combine like terms: 3y + -3y = 0
49 + -10y = 14 + 5x + 0
49 + -10y = 14 + 5x

Add '-49' to each side of the equation.
49 + -49 + -10y = 14 + -49 + 5x

Combine like terms: 49 + -49 = 0
0 + -10y = 14 + -49 + 5x
-10y = 14 + -49 + 5x

Combine like terms: 14 + -49 = -35
-10y = -35 + 5x

Divide each side by '-10'.
y = 3.5 + -0.5x

Simplifying
y = 3.5 + -0.5x

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