2y+16=4y-6

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Solution for 2y+16=4y-6 equation:


Simplifying
2y + 16 = 4y + -6

Reorder the terms:
16 + 2y = 4y + -6

Reorder the terms:
16 + 2y = -6 + 4y

Solving
16 + 2y = -6 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
16 + 2y + -4y = -6 + 4y + -4y

Combine like terms: 2y + -4y = -2y
16 + -2y = -6 + 4y + -4y

Combine like terms: 4y + -4y = 0
16 + -2y = -6 + 0
16 + -2y = -6

Add '-16' to each side of the equation.
16 + -16 + -2y = -6 + -16

Combine like terms: 16 + -16 = 0
0 + -2y = -6 + -16
-2y = -6 + -16

Combine like terms: -6 + -16 = -22
-2y = -22

Divide each side by '-2'.
y = 11

Simplifying
y = 11

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