3y+[-5y-(y+3)]=8y-(5y-9)

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Solution for 3y+[-5y-(y+3)]=8y-(5y-9) equation:


Simplifying
3y + [-5y + -1(y + 3)] = 8y + -1(5y + -9)

Reorder the terms:
3y + [-5y + -1(3 + y)] = 8y + -1(5y + -9)
3y + [-5y + (3 * -1 + y * -1)] = 8y + -1(5y + -9)
3y + [-5y + (-3 + -1y)] = 8y + -1(5y + -9)

Reorder the terms:
3y + [-3 + -5y + -1y] = 8y + -1(5y + -9)

Combine like terms: -5y + -1y = -6y
3y + [-3 + -6y] = 8y + -1(5y + -9)

Remove brackets around [-3 + -6y]
3y + -3 + -6y = 8y + -1(5y + -9)

Reorder the terms:
-3 + 3y + -6y = 8y + -1(5y + -9)

Combine like terms: 3y + -6y = -3y
-3 + -3y = 8y + -1(5y + -9)

Reorder the terms:
-3 + -3y = 8y + -1(-9 + 5y)
-3 + -3y = 8y + (-9 * -1 + 5y * -1)
-3 + -3y = 8y + (9 + -5y)

Reorder the terms:
-3 + -3y = 9 + 8y + -5y

Combine like terms: 8y + -5y = 3y
-3 + -3y = 9 + 3y

Solving
-3 + -3y = 9 + 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.
-3 + -3y + -3y = 9 + 3y + -3y

Combine like terms: -3y + -3y = -6y
-3 + -6y = 9 + 3y + -3y

Combine like terms: 3y + -3y = 0
-3 + -6y = 9 + 0
-3 + -6y = 9

Add '3' to each side of the equation.
-3 + 3 + -6y = 9 + 3

Combine like terms: -3 + 3 = 0
0 + -6y = 9 + 3
-6y = 9 + 3

Combine like terms: 9 + 3 = 12
-6y = 12

Divide each side by '-6'.
y = -2

Simplifying
y = -2

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