4y+6=-2y+14

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Solution for 4y+6=-2y+14 equation:


Simplifying
4y + 6 = -2y + 14

Reorder the terms:
6 + 4y = -2y + 14

Reorder the terms:
6 + 4y = 14 + -2y

Solving
6 + 4y = 14 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
6 + 4y + 2y = 14 + -2y + 2y

Combine like terms: 4y + 2y = 6y
6 + 6y = 14 + -2y + 2y

Combine like terms: -2y + 2y = 0
6 + 6y = 14 + 0
6 + 6y = 14

Add '-6' to each side of the equation.
6 + -6 + 6y = 14 + -6

Combine like terms: 6 + -6 = 0
0 + 6y = 14 + -6
6y = 14 + -6

Combine like terms: 14 + -6 = 8
6y = 8

Divide each side by '6'.
y = 1.333333333

Simplifying
y = 1.333333333

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