9y-(2y+3)=4(y-5)+2

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Solution for 9y-(2y+3)=4(y-5)+2 equation:


Simplifying
9y + -1(2y + 3) = 4(y + -5) + 2

Reorder the terms:
9y + -1(3 + 2y) = 4(y + -5) + 2
9y + (3 * -1 + 2y * -1) = 4(y + -5) + 2
9y + (-3 + -2y) = 4(y + -5) + 2

Reorder the terms:
-3 + 9y + -2y = 4(y + -5) + 2

Combine like terms: 9y + -2y = 7y
-3 + 7y = 4(y + -5) + 2

Reorder the terms:
-3 + 7y = 4(-5 + y) + 2
-3 + 7y = (-5 * 4 + y * 4) + 2
-3 + 7y = (-20 + 4y) + 2

Reorder the terms:
-3 + 7y = -20 + 2 + 4y

Combine like terms: -20 + 2 = -18
-3 + 7y = -18 + 4y

Solving
-3 + 7y = -18 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-3 + 7y + -4y = -18 + 4y + -4y

Combine like terms: 7y + -4y = 3y
-3 + 3y = -18 + 4y + -4y

Combine like terms: 4y + -4y = 0
-3 + 3y = -18 + 0
-3 + 3y = -18

Add '3' to each side of the equation.
-3 + 3 + 3y = -18 + 3

Combine like terms: -3 + 3 = 0
0 + 3y = -18 + 3
3y = -18 + 3

Combine like terms: -18 + 3 = -15
3y = -15

Divide each side by '3'.
y = -5

Simplifying
y = -5

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