(8y-7)-(y-4)=0

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Solution for (8y-7)-(y-4)=0 equation:


Simplifying
(8y + -7) + -1(y + -4) = 0

Reorder the terms:
(-7 + 8y) + -1(y + -4) = 0

Remove parenthesis around (-7 + 8y)
-7 + 8y + -1(y + -4) = 0

Reorder the terms:
-7 + 8y + -1(-4 + y) = 0
-7 + 8y + (-4 * -1 + y * -1) = 0
-7 + 8y + (4 + -1y) = 0

Reorder the terms:
-7 + 4 + 8y + -1y = 0

Combine like terms: -7 + 4 = -3
-3 + 8y + -1y = 0

Combine like terms: 8y + -1y = 7y
-3 + 7y = 0

Solving
-3 + 7y = 0

Solving for variable 'y'.

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

Add '3' to each side of the equation.
-3 + 3 + 7y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 7y = 0 + 3
7y = 0 + 3

Combine like terms: 0 + 3 = 3
7y = 3

Divide each side by '7'.
y = 0.4285714286

Simplifying
y = 0.4285714286

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