(6y-5)-(-5y+4)=3

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Solution for (6y-5)-(-5y+4)=3 equation:


Simplifying
(6y + -5) + -1(-5y + 4) = 3

Reorder the terms:
(-5 + 6y) + -1(-5y + 4) = 3

Remove parenthesis around (-5 + 6y)
-5 + 6y + -1(-5y + 4) = 3

Reorder the terms:
-5 + 6y + -1(4 + -5y) = 3
-5 + 6y + (4 * -1 + -5y * -1) = 3
-5 + 6y + (-4 + 5y) = 3

Reorder the terms:
-5 + -4 + 6y + 5y = 3

Combine like terms: -5 + -4 = -9
-9 + 6y + 5y = 3

Combine like terms: 6y + 5y = 11y
-9 + 11y = 3

Solving
-9 + 11y = 3

Solving for variable 'y'.

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

Add '9' to each side of the equation.
-9 + 9 + 11y = 3 + 9

Combine like terms: -9 + 9 = 0
0 + 11y = 3 + 9
11y = 3 + 9

Combine like terms: 3 + 9 = 12
11y = 12

Divide each side by '11'.
y = 1.090909091

Simplifying
y = 1.090909091

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