7y+16=4y-2

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Solution for 7y+16=4y-2 equation:


Simplifying
7y + 16 = 4y + -2

Reorder the terms:
16 + 7y = 4y + -2

Reorder the terms:
16 + 7y = -2 + 4y

Solving
16 + 7y = -2 + 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 + 7y + -4y = -2 + 4y + -4y

Combine like terms: 7y + -4y = 3y
16 + 3y = -2 + 4y + -4y

Combine like terms: 4y + -4y = 0
16 + 3y = -2 + 0
16 + 3y = -2

Add '-16' to each side of the equation.
16 + -16 + 3y = -2 + -16

Combine like terms: 16 + -16 = 0
0 + 3y = -2 + -16
3y = -2 + -16

Combine like terms: -2 + -16 = -18
3y = -18

Divide each side by '3'.
y = -6

Simplifying
y = -6

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