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Question

Difficulty: EasySolving Linear Equations

For what value of yy is the equation 3(y−4)=5y+23(y - 4) = 5y + 2 true?

Answer: -7

Answer

The value of yy that satisfies the equation is −7-7.
Distributing the 3 yields 3y−12=5y+23y - 12 = 5y + 2. Subtracting 3y3y from both sides gives −12=2y+2-12 = 2y + 2. Subtracting 2 from both sides gives −14=2y-14 = 2y. Dividing by 2 results in y=−7y = -7.

Step-by-Step Solution

1
Distribute the 3 on the left side of the equation.
3y−12=5y+23y - 12 = 5y + 2
To simplify the expression by expanding the parentheses.
2
Subtract 3y3y from both sides of the equation.
−12=2y+2-12 = 2y + 2
To collect the variable terms on the right side of the equation.
3
Subtract 2 from both sides of the equation.
−14=2y-14 = 2y
To isolate the variable term.
4
Divide both sides by 2.
y=−7y = -7
To solve for yy.

Key Concept

Solving linear equations by distributing and isolating the variable.
Estimated Time:45s
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Topics

Solving Linear Equations

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