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

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


Simplifying
2(2y + 5) + 3y = 17

Reorder the terms:
2(5 + 2y) + 3y = 17
(5 * 2 + 2y * 2) + 3y = 17
(10 + 4y) + 3y = 17

Combine like terms: 4y + 3y = 7y
10 + 7y = 17

Solving
10 + 7y = 17

Solving for variable 'y'.

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

Add '-10' to each side of the equation.
10 + -10 + 7y = 17 + -10

Combine like terms: 10 + -10 = 0
0 + 7y = 17 + -10
7y = 17 + -10

Combine like terms: 17 + -10 = 7
7y = 7

Divide each side by '7'.
y = 1

Simplifying
y = 1

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