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

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Solution for 5+2(3y+4)=2(1y+9) equation:


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

Reorder the terms:
5 + 2(4 + 3y) = 2(1y + 9)
5 + (4 * 2 + 3y * 2) = 2(1y + 9)
5 + (8 + 6y) = 2(1y + 9)

Combine like terms: 5 + 8 = 13
13 + 6y = 2(1y + 9)

Reorder the terms:
13 + 6y = 2(9 + 1y)
13 + 6y = (9 * 2 + 1y * 2)
13 + 6y = (18 + 2y)

Solving
13 + 6y = 18 + 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.
13 + 6y + -2y = 18 + 2y + -2y

Combine like terms: 6y + -2y = 4y
13 + 4y = 18 + 2y + -2y

Combine like terms: 2y + -2y = 0
13 + 4y = 18 + 0
13 + 4y = 18

Add '-13' to each side of the equation.
13 + -13 + 4y = 18 + -13

Combine like terms: 13 + -13 = 0
0 + 4y = 18 + -13
4y = 18 + -13

Combine like terms: 18 + -13 = 5
4y = 5

Divide each side by '4'.
y = 1.25

Simplifying
y = 1.25

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