a(y-4)-7y=5(3y-2)

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Solution for a(y-4)-7y=5(3y-2) equation:


Simplifying
a(y + -4) + -7y = 5(3y + -2)

Reorder the terms:
a(-4 + y) + -7y = 5(3y + -2)
(-4 * a + y * a) + -7y = 5(3y + -2)
(-4a + ay) + -7y = 5(3y + -2)

Reorder the terms:
-4a + ay + -7y = 5(-2 + 3y)
-4a + ay + -7y = (-2 * 5 + 3y * 5)
-4a + ay + -7y = (-10 + 15y)

Solving
-4a + ay + -7y = -10 + 15y

Solving for variable 'a'.

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

Add '7y' to each side of the equation.
-4a + ay + -7y + 7y = -10 + 15y + 7y

Combine like terms: -7y + 7y = 0
-4a + ay + 0 = -10 + 15y + 7y
-4a + ay = -10 + 15y + 7y

Combine like terms: 15y + 7y = 22y
-4a + ay = -10 + 22y

Reorder the terms:
10 + -4a + ay + -22y = -10 + 22y + 10 + -22y

Reorder the terms:
10 + -4a + ay + -22y = -10 + 10 + 22y + -22y

Combine like terms: -10 + 10 = 0
10 + -4a + ay + -22y = 0 + 22y + -22y
10 + -4a + ay + -22y = 22y + -22y

Combine like terms: 22y + -22y = 0
10 + -4a + ay + -22y = 0

The solution to this equation could not be determined.

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