(6y+7)-(4y-6)=equation

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Solution for (6y+7)-(4y-6)=equation equation:


Simplifying
(6y + 7) + -1(4y + -6) = equation

Reorder the terms:
(7 + 6y) + -1(4y + -6) = equation

Remove parenthesis around (7 + 6y)
7 + 6y + -1(4y + -6) = equation

Reorder the terms:
7 + 6y + -1(-6 + 4y) = equation
7 + 6y + (-6 * -1 + 4y * -1) = equation
7 + 6y + (6 + -4y) = equation

Reorder the terms:
7 + 6 + 6y + -4y = equation

Combine like terms: 7 + 6 = 13
13 + 6y + -4y = equation

Combine like terms: 6y + -4y = 2y
13 + 2y = equation

Solving
13 + 2y = aeinoqtu

Solving for variable 'y'.

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

Add '-13' to each side of the equation.
13 + -13 + 2y = -13 + aeinoqtu

Combine like terms: 13 + -13 = 0
0 + 2y = -13 + aeinoqtu
2y = -13 + aeinoqtu

Divide each side by '2'.
y = -6.5 + 0.5aeinoqtu

Simplifying
y = -6.5 + 0.5aeinoqtu

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