3y-16=7y+13

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Solution for 3y-16=7y+13 equation:


Simplifying
3y + -16 = 7y + 13

Reorder the terms:
-16 + 3y = 7y + 13

Reorder the terms:
-16 + 3y = 13 + 7y

Solving
-16 + 3y = 13 + 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.
-16 + 3y + -7y = 13 + 7y + -7y

Combine like terms: 3y + -7y = -4y
-16 + -4y = 13 + 7y + -7y

Combine like terms: 7y + -7y = 0
-16 + -4y = 13 + 0
-16 + -4y = 13

Add '16' to each side of the equation.
-16 + 16 + -4y = 13 + 16

Combine like terms: -16 + 16 = 0
0 + -4y = 13 + 16
-4y = 13 + 16

Combine like terms: 13 + 16 = 29
-4y = 29

Divide each side by '-4'.
y = -7.25

Simplifying
y = -7.25

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