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

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


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

Combine like terms: 2 + 4 = 6
5 + y(6) = 2(y + 3) + -4

Reorder the terms for easier multiplication:
5 + 6y = 2(y + 3) + -4

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

Reorder the terms:
5 + 6y = 6 + -4 + 2y

Combine like terms: 6 + -4 = 2
5 + 6y = 2 + 2y

Solving
5 + 6y = 2 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
5 + 6y + -2y = 2 + 2y + -2y

Combine like terms: 6y + -2y = 4y
5 + 4y = 2 + 2y + -2y

Combine like terms: 2y + -2y = 0
5 + 4y = 2 + 0
5 + 4y = 2

Add '-5' to each side of the equation.
5 + -5 + 4y = 2 + -5

Combine like terms: 5 + -5 = 0
0 + 4y = 2 + -5
4y = 2 + -5

Combine like terms: 2 + -5 = -3
4y = -3

Divide each side by '4'.
y = -0.75

Simplifying
y = -0.75

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