5y+6(y+3)=51

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Solution for 5y+6(y+3)=51 equation:


Simplifying
5y + 6(y + 3) = 51

Reorder the terms:
5y + 6(3 + y) = 51
5y + (3 * 6 + y * 6) = 51
5y + (18 + 6y) = 51

Reorder the terms:
18 + 5y + 6y = 51

Combine like terms: 5y + 6y = 11y
18 + 11y = 51

Solving
18 + 11y = 51

Solving for variable 'y'.

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

Add '-18' to each side of the equation.
18 + -18 + 11y = 51 + -18

Combine like terms: 18 + -18 = 0
0 + 11y = 51 + -18
11y = 51 + -18

Combine like terms: 51 + -18 = 33
11y = 33

Divide each side by '11'.
y = 3

Simplifying
y = 3

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