7y+6=4(y-2)

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Solution for 7y+6=4(y-2) equation:


Simplifying
7y + 6 = 4(y + -2)

Reorder the terms:
6 + 7y = 4(y + -2)

Reorder the terms:
6 + 7y = 4(-2 + y)
6 + 7y = (-2 * 4 + y * 4)
6 + 7y = (-8 + 4y)

Solving
6 + 7y = -8 + 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.
6 + 7y + -4y = -8 + 4y + -4y

Combine like terms: 7y + -4y = 3y
6 + 3y = -8 + 4y + -4y

Combine like terms: 4y + -4y = 0
6 + 3y = -8 + 0
6 + 3y = -8

Add '-6' to each side of the equation.
6 + -6 + 3y = -8 + -6

Combine like terms: 6 + -6 = 0
0 + 3y = -8 + -6
3y = -8 + -6

Combine like terms: -8 + -6 = -14
3y = -14

Divide each side by '3'.
y = -4.666666667

Simplifying
y = -4.666666667

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