(2y+5)-(y-3)+(7y+3y)=17

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Solution for (2y+5)-(y-3)+(7y+3y)=17 equation:


Simplifying
(2y + 5) + -1(y + -3) + (7y + 3y) = 17

Reorder the terms:
(5 + 2y) + -1(y + -3) + (7y + 3y) = 17

Remove parenthesis around (5 + 2y)
5 + 2y + -1(y + -3) + (7y + 3y) = 17

Reorder the terms:
5 + 2y + -1(-3 + y) + (7y + 3y) = 17
5 + 2y + (-3 * -1 + y * -1) + (7y + 3y) = 17
5 + 2y + (3 + -1y) + (7y + 3y) = 17

Combine like terms: 7y + 3y = 10y
5 + 2y + 3 + -1y + (10y) = 17
5 + 2y + 3 + -1y + (10y) = 17

Reorder the terms:
5 + 3 + 2y + -1y + (10y) = 17

Combine like terms: 5 + 3 = 8
8 + 2y + -1y + (10y) = 17

Combine like terms: 2y + -1y = 1y
8 + 1y + (10y) = 17

Combine like terms: 1y + (10y) = 11y
8 + 11y = 17

Solving
8 + 11y = 17

Solving for variable 'y'.

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

Add '-8' to each side of the equation.
8 + -8 + 11y = 17 + -8

Combine like terms: 8 + -8 = 0
0 + 11y = 17 + -8
11y = 17 + -8

Combine like terms: 17 + -8 = 9
11y = 9

Divide each side by '11'.
y = 0.8181818182

Simplifying
y = 0.8181818182

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