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Solve. 3y + 4y + 6 = 20

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3y+4y+6=20(Identify like terms.)3y+4y+6=20(3+4)y+6=20(Apply a distributive property.)7y+6=20(Add within the parentheses.)7y+66=206(Subtract 6 to both sides.)7y=14(Divide by 7.)7y7=1477y7=147y=2\begin{align*} 3 \cdot \textcolor{#c34632}{y} + 4\cdot \textcolor{#c34632}{y}+6 &=20 &&\text{(Identify like terms.)}\\ \boxed{3 \cdot \textcolor{#c34632}{y}} + \boxed{4\cdot \textcolor{#c34632}{y}}+6 &=20 \\ (3+4) \cdot \textcolor{#c34632}{y} +6 &=20 && \text{(Apply a \textcolor{#4257b2}{distributive property.})} \\ 7 \cdot \textcolor{#c34632}{y} +6 &=20 && \text{(Add within the parentheses.)}\\ 7 \cdot \textcolor{#c34632}{y} +6-\textcolor{#4257b2}{6} &=20- \textcolor{#4257b2}{6} && \text{(Subtract \textcolor{#4257b2}{6} to both sides.)}\\ 7 \cdot \textcolor{#c34632}{y} &=14 && \text{(Divide by 7.)} \\ \frac{7 \cdot \textcolor{#c34632}{y}}{7} &= \frac{14}{7} \\ \frac{\cancel7 \cdot \textcolor{#c34632}{y}}{\cancel7} &= \frac{14}{7} \\ \textcolor{#c34632}{y} &= \boxed{2} \end{align*}

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