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

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Solution for 5-3(2y+4)=2y+3(y+1) equation:


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

Reorder the terms:
5 + -3(4 + 2y) = 2y + 3(y + 1)
5 + (4 * -3 + 2y * -3) = 2y + 3(y + 1)
5 + (-12 + -6y) = 2y + 3(y + 1)

Combine like terms: 5 + -12 = -7
-7 + -6y = 2y + 3(y + 1)

Reorder the terms:
-7 + -6y = 2y + 3(1 + y)
-7 + -6y = 2y + (1 * 3 + y * 3)
-7 + -6y = 2y + (3 + 3y)

Reorder the terms:
-7 + -6y = 3 + 2y + 3y

Combine like terms: 2y + 3y = 5y
-7 + -6y = 3 + 5y

Solving
-7 + -6y = 3 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-7 + -6y + -5y = 3 + 5y + -5y

Combine like terms: -6y + -5y = -11y
-7 + -11y = 3 + 5y + -5y

Combine like terms: 5y + -5y = 0
-7 + -11y = 3 + 0
-7 + -11y = 3

Add '7' to each side of the equation.
-7 + 7 + -11y = 3 + 7

Combine like terms: -7 + 7 = 0
0 + -11y = 3 + 7
-11y = 3 + 7

Combine like terms: 3 + 7 = 10
-11y = 10

Divide each side by '-11'.
y = -0.9090909091

Simplifying
y = -0.9090909091

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