4y-6=7y+12

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Solution for 4y-6=7y+12 equation:


Simplifying
4y + -6 = 7y + 12

Reorder the terms:
-6 + 4y = 7y + 12

Reorder the terms:
-6 + 4y = 12 + 7y

Solving
-6 + 4y = 12 + 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.
-6 + 4y + -7y = 12 + 7y + -7y

Combine like terms: 4y + -7y = -3y
-6 + -3y = 12 + 7y + -7y

Combine like terms: 7y + -7y = 0
-6 + -3y = 12 + 0
-6 + -3y = 12

Add '6' to each side of the equation.
-6 + 6 + -3y = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -3y = 12 + 6
-3y = 12 + 6

Combine like terms: 12 + 6 = 18
-3y = 18

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

Simplifying
y = -6

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