5(2y+3)-6(y+1)=29

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Solution for 5(2y+3)-6(y+1)=29 equation:


Simplifying
5(2y + 3) + -6(y + 1) = 29

Reorder the terms:
5(3 + 2y) + -6(y + 1) = 29
(3 * 5 + 2y * 5) + -6(y + 1) = 29
(15 + 10y) + -6(y + 1) = 29

Reorder the terms:
15 + 10y + -6(1 + y) = 29
15 + 10y + (1 * -6 + y * -6) = 29
15 + 10y + (-6 + -6y) = 29

Reorder the terms:
15 + -6 + 10y + -6y = 29

Combine like terms: 15 + -6 = 9
9 + 10y + -6y = 29

Combine like terms: 10y + -6y = 4y
9 + 4y = 29

Solving
9 + 4y = 29

Solving for variable 'y'.

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

Add '-9' to each side of the equation.
9 + -9 + 4y = 29 + -9

Combine like terms: 9 + -9 = 0
0 + 4y = 29 + -9
4y = 29 + -9

Combine like terms: 29 + -9 = 20
4y = 20

Divide each side by '4'.
y = 5

Simplifying
y = 5

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