7(y-2)=4y-23

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Solution for 7(y-2)=4y-23 equation:


Simplifying
7(y + -2) = 4y + -23

Reorder the terms:
7(-2 + y) = 4y + -23
(-2 * 7 + y * 7) = 4y + -23
(-14 + 7y) = 4y + -23

Reorder the terms:
-14 + 7y = -23 + 4y

Solving
-14 + 7y = -23 + 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.
-14 + 7y + -4y = -23 + 4y + -4y

Combine like terms: 7y + -4y = 3y
-14 + 3y = -23 + 4y + -4y

Combine like terms: 4y + -4y = 0
-14 + 3y = -23 + 0
-14 + 3y = -23

Add '14' to each side of the equation.
-14 + 14 + 3y = -23 + 14

Combine like terms: -14 + 14 = 0
0 + 3y = -23 + 14
3y = -23 + 14

Combine like terms: -23 + 14 = -9
3y = -9

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

Simplifying
y = -3

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