(2+1.5y-2)2+(1.5y+3)2=16

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Solution for (2+1.5y-2)2+(1.5y+3)2=16 equation:


Simplifying
(2 + 1.5y + -2) * 2 + (1.5y + 3) * 2 = 16

Reorder the terms:
(2 + -2 + 1.5y) * 2 + (1.5y + 3) * 2 = 16

Combine like terms: 2 + -2 = 0
(0 + 1.5y) * 2 + (1.5y + 3) * 2 = 16
(1.5y) * 2 + (1.5y + 3) * 2 = 16

Remove parenthesis around (1.5y)
1.5y * 2 + (1.5y + 3) * 2 = 16

Reorder the terms for easier multiplication:
1.5 * 2y + (1.5y + 3) * 2 = 16

Multiply 1.5 * 2
3y + (1.5y + 3) * 2 = 16

Reorder the terms:
3y + (3 + 1.5y) * 2 = 16

Reorder the terms for easier multiplication:
3y + 2(3 + 1.5y) = 16
3y + (3 * 2 + 1.5y * 2) = 16
3y + (6 + 3y) = 16

Reorder the terms:
6 + 3y + 3y = 16

Combine like terms: 3y + 3y = 6y
6 + 6y = 16

Solving
6 + 6y = 16

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + 6y = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 6y = 16 + -6
6y = 16 + -6

Combine like terms: 16 + -6 = 10
6y = 10

Divide each side by '6'.
y = 1.666666667

Simplifying
y = 1.666666667

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