7(Y-4)-4Y=-22

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Solution for 7(Y-4)-4Y=-22 equation:


Simplifying
7(Y + -4) + -4Y = -22

Reorder the terms:
7(-4 + Y) + -4Y = -22
(-4 * 7 + Y * 7) + -4Y = -22
(-28 + 7Y) + -4Y = -22

Combine like terms: 7Y + -4Y = 3Y
-28 + 3Y = -22

Solving
-28 + 3Y = -22

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Add '28' to each side of the equation.
-28 + 28 + 3Y = -22 + 28

Combine like terms: -28 + 28 = 0
0 + 3Y = -22 + 28
3Y = -22 + 28

Combine like terms: -22 + 28 = 6
3Y = 6

Divide each side by '3'.
Y = 2

Simplifying
Y = 2

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