4y+5(y+3)=33

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Solution for 4y+5(y+3)=33 equation:


Simplifying
4y + 5(y + 3) = 33

Reorder the terms:
4y + 5(3 + y) = 33
4y + (3 * 5 + y * 5) = 33
4y + (15 + 5y) = 33

Reorder the terms:
15 + 4y + 5y = 33

Combine like terms: 4y + 5y = 9y
15 + 9y = 33

Solving
15 + 9y = 33

Solving for variable 'y'.

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

Add '-15' to each side of the equation.
15 + -15 + 9y = 33 + -15

Combine like terms: 15 + -15 = 0
0 + 9y = 33 + -15
9y = 33 + -15

Combine like terms: 33 + -15 = 18
9y = 18

Divide each side by '9'.
y = 2

Simplifying
y = 2

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