(4y-1)-(6y+9)=14

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Solution for (4y-1)-(6y+9)=14 equation:


Simplifying
(4y + -1) + -1(6y + 9) = 14

Reorder the terms:
(-1 + 4y) + -1(6y + 9) = 14

Remove parenthesis around (-1 + 4y)
-1 + 4y + -1(6y + 9) = 14

Reorder the terms:
-1 + 4y + -1(9 + 6y) = 14
-1 + 4y + (9 * -1 + 6y * -1) = 14
-1 + 4y + (-9 + -6y) = 14

Reorder the terms:
-1 + -9 + 4y + -6y = 14

Combine like terms: -1 + -9 = -10
-10 + 4y + -6y = 14

Combine like terms: 4y + -6y = -2y
-10 + -2y = 14

Solving
-10 + -2y = 14

Solving for variable 'y'.

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

Add '10' to each side of the equation.
-10 + 10 + -2y = 14 + 10

Combine like terms: -10 + 10 = 0
0 + -2y = 14 + 10
-2y = 14 + 10

Combine like terms: 14 + 10 = 24
-2y = 24

Divide each side by '-2'.
y = -12

Simplifying
y = -12

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