(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 = 2
2 + 2y + -1y + (10y) = 17

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

Combine like terms: 1y + (10y) = 11y
2 + 11y = 17

Solving
2 + 11y = 17

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + 11y = 17 + -2

Combine like terms: 2 + -2 = 0
0 + 11y = 17 + -2
11y = 17 + -2

Combine like terms: 17 + -2 = 15
11y = 15

Divide each side by '11'.
y = 1.363636364

Simplifying
y = 1.363636364

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