3y-4=7y+16

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Solution for 3y-4=7y+16 equation:


Simplifying
3y + -4 = 7y + 16

Reorder the terms:
-4 + 3y = 7y + 16

Reorder the terms:
-4 + 3y = 16 + 7y

Solving
-4 + 3y = 16 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-4 + 3y + -7y = 16 + 7y + -7y

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

Combine like terms: 7y + -7y = 0
-4 + -4y = 16 + 0
-4 + -4y = 16

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

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

Combine like terms: 16 + 4 = 20
-4y = 20

Divide each side by '-4'.
y = -5

Simplifying
y = -5

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