7y+33=3y+14

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Solution for 7y+33=3y+14 equation:


Simplifying
7y + 33 = 3y + 14

Reorder the terms:
33 + 7y = 3y + 14

Reorder the terms:
33 + 7y = 14 + 3y

Solving
33 + 7y = 14 + 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.
33 + 7y + -3y = 14 + 3y + -3y

Combine like terms: 7y + -3y = 4y
33 + 4y = 14 + 3y + -3y

Combine like terms: 3y + -3y = 0
33 + 4y = 14 + 0
33 + 4y = 14

Add '-33' to each side of the equation.
33 + -33 + 4y = 14 + -33

Combine like terms: 33 + -33 = 0
0 + 4y = 14 + -33
4y = 14 + -33

Combine like terms: 14 + -33 = -19
4y = -19

Divide each side by '4'.
y = -4.75

Simplifying
y = -4.75

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