How to solve 4y-1y+11=38?

Mara Boyd

Mara Boyd

Answered question

2022-12-30

How to solve 4y1y+11=38?

Answer & Explanation

mercerizoblx

mercerizoblx

Beginner2022-12-31Added 7 answers

Put like terms together first on the left side of the equation:
\(\displaystyle{\left({4}-{1}\right)}{y}+{11}={38}\)
\(\displaystyle{3}{y}+{11}={38}\)
Next, subtract \(\displaystyle{\color{red}{{11}}}\) to each side of the equation to isolate the y term while keeping the equation balanced:
\(\displaystyle{3}{y}+{11}-{\color{red}{{11}}}={38}-{\color{red}{{11}}}\)
\(\displaystyle{3}{y}+{0}={27}\)
\(\displaystyle{3}{y}={27}\)
Now, divide each side of the equation by \(\displaystyle{\color{red}{{3}}}\) to solve for y while keeping the equation balanced:
\(\displaystyle\frac{{{3}{y}}}{{\color{red}{{3}}}}=\frac{{27}}{{\color{red}{{3}}}}\)
\(\displaystyle\frac{{{\color{red}{\cancel{{{\color{black}{{3}}}}}}}{y}}}{\cancel{{{\color{red}{{3}}}}}}={9}\)
\(\displaystyle{y}={9}\)

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