-6y+4y+11=9-(10-3y)

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Solution for -6y+4y+11=9-(10-3y) equation:


Simplifying
-6y + 4y + 11 = 9 + -1(10 + -3y)

Reorder the terms:
11 + -6y + 4y = 9 + -1(10 + -3y)

Combine like terms: -6y + 4y = -2y
11 + -2y = 9 + -1(10 + -3y)
11 + -2y = 9 + (10 * -1 + -3y * -1)
11 + -2y = 9 + (-10 + 3y)

Combine like terms: 9 + -10 = -1
11 + -2y = -1 + 3y

Solving
11 + -2y = -1 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
11 + -2y + -3y = -1 + 3y + -3y

Combine like terms: -2y + -3y = -5y
11 + -5y = -1 + 3y + -3y

Combine like terms: 3y + -3y = 0
11 + -5y = -1 + 0
11 + -5y = -1

Add '-11' to each side of the equation.
11 + -11 + -5y = -1 + -11

Combine like terms: 11 + -11 = 0
0 + -5y = -1 + -11
-5y = -1 + -11

Combine like terms: -1 + -11 = -12
-5y = -12

Divide each side by '-5'.
y = 2.4

Simplifying
y = 2.4

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