2(2+.75y)+4y=2+.75y+3y+14

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Solution for 2(2+.75y)+4y=2+.75y+3y+14 equation:


Simplifying
2(2 + 0.75y) + 4y = 2 + 0.75y + 3y + 14
(2 * 2 + 0.75y * 2) + 4y = 2 + 0.75y + 3y + 14
(4 + 1.5y) + 4y = 2 + 0.75y + 3y + 14

Combine like terms: 1.5y + 4y = 5.5y
4 + 5.5y = 2 + 0.75y + 3y + 14

Reorder the terms:
4 + 5.5y = 2 + 14 + 0.75y + 3y

Combine like terms: 2 + 14 = 16
4 + 5.5y = 16 + 0.75y + 3y

Combine like terms: 0.75y + 3y = 3.75y
4 + 5.5y = 16 + 3.75y

Solving
4 + 5.5y = 16 + 3.75y

Solving for variable 'y'.

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

Add '-3.75y' to each side of the equation.
4 + 5.5y + -3.75y = 16 + 3.75y + -3.75y

Combine like terms: 5.5y + -3.75y = 1.75y
4 + 1.75y = 16 + 3.75y + -3.75y

Combine like terms: 3.75y + -3.75y = 0.00
4 + 1.75y = 16 + 0.00
4 + 1.75y = 16

Add '-4' to each side of the equation.
4 + -4 + 1.75y = 16 + -4

Combine like terms: 4 + -4 = 0
0 + 1.75y = 16 + -4
1.75y = 16 + -4

Combine like terms: 16 + -4 = 12
1.75y = 12

Divide each side by '1.75'.
y = 6.857142857

Simplifying
y = 6.857142857

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