4y-9+y+49=7y+4-4y

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Solution for 4y-9+y+49=7y+4-4y equation:


Simplifying
4y + -9 + y + 49 = 7y + 4 + -4y

Reorder the terms:
-9 + 49 + 4y + y = 7y + 4 + -4y

Combine like terms: -9 + 49 = 40
40 + 4y + y = 7y + 4 + -4y

Combine like terms: 4y + y = 5y
40 + 5y = 7y + 4 + -4y

Reorder the terms:
40 + 5y = 4 + 7y + -4y

Combine like terms: 7y + -4y = 3y
40 + 5y = 4 + 3y

Solving
40 + 5y = 4 + 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.
40 + 5y + -3y = 4 + 3y + -3y

Combine like terms: 5y + -3y = 2y
40 + 2y = 4 + 3y + -3y

Combine like terms: 3y + -3y = 0
40 + 2y = 4 + 0
40 + 2y = 4

Add '-40' to each side of the equation.
40 + -40 + 2y = 4 + -40

Combine like terms: 40 + -40 = 0
0 + 2y = 4 + -40
2y = 4 + -40

Combine like terms: 4 + -40 = -36
2y = -36

Divide each side by '2'.
y = -18

Simplifying
y = -18

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