3(y-4)=7y-6

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Solution for 3(y-4)=7y-6 equation:


Simplifying
3(y + -4) = 7y + -6

Reorder the terms:
3(-4 + y) = 7y + -6
(-4 * 3 + y * 3) = 7y + -6
(-12 + 3y) = 7y + -6

Reorder the terms:
-12 + 3y = -6 + 7y

Solving
-12 + 3y = -6 + 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.
-12 + 3y + -7y = -6 + 7y + -7y

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

Combine like terms: 7y + -7y = 0
-12 + -4y = -6 + 0
-12 + -4y = -6

Add '12' to each side of the equation.
-12 + 12 + -4y = -6 + 12

Combine like terms: -12 + 12 = 0
0 + -4y = -6 + 12
-4y = -6 + 12

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

Divide each side by '-4'.
y = -1.5

Simplifying
y = -1.5

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