(4y+8)-(7y-12)=11

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Solution for (4y+8)-(7y-12)=11 equation:


Simplifying
(4y + 8) + -1(7y + -12) = 11

Reorder the terms:
(8 + 4y) + -1(7y + -12) = 11

Remove parenthesis around (8 + 4y)
8 + 4y + -1(7y + -12) = 11

Reorder the terms:
8 + 4y + -1(-12 + 7y) = 11
8 + 4y + (-12 * -1 + 7y * -1) = 11
8 + 4y + (12 + -7y) = 11

Reorder the terms:
8 + 12 + 4y + -7y = 11

Combine like terms: 8 + 12 = 20
20 + 4y + -7y = 11

Combine like terms: 4y + -7y = -3y
20 + -3y = 11

Solving
20 + -3y = 11

Solving for variable 'y'.

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

Add '-20' to each side of the equation.
20 + -20 + -3y = 11 + -20

Combine like terms: 20 + -20 = 0
0 + -3y = 11 + -20
-3y = 11 + -20

Combine like terms: 11 + -20 = -9
-3y = -9

Divide each side by '-3'.
y = 3

Simplifying
y = 3

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