Question
Solve the equation
y=−215
Alternative Form
y=−7.5
Evaluate
−140=18+4(5y−2)
Swap the sides of the equation
18+4(5y−2)=−140
Move the expression to the left side
18+4(5y−2)−(−140)=0
Subtract the numbers
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Evaluate
18−(−140)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
18+140
Add the numbers
158
158+4(5y−2)=0
Calculate
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Evaluate
158+4(5y−2)
Expand the expression
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Calculate
4(5y−2)
Apply the distributive property
4×5y−4×2
Multiply the numbers
20y−4×2
Multiply the numbers
20y−8
158+20y−8
Subtract the numbers
150+20y
150+20y=0
Move the constant to the right-hand side and change its sign
20y=0−150
Removing 0 doesn't change the value,so remove it from the expression
20y=−150
Divide both sides
2020y=20−150
Divide the numbers
y=20−150
Solution
More Steps

Evaluate
20−150
Cancel out the common factor 10
2−15
Use b−a=−ba=−ba to rewrite the fraction
−215
y=−215
Alternative Form
y=−7.5
Show Solution

Rewrite the equation
Rewrite in standard form
Rewrite in slope-intercept form
2y=−15
Evaluate
−140=18+4(5y−2)
Evaluate
More Steps

Evaluate
18+4(5y−2)
Expand the expression
More Steps

Calculate
4(5y−2)
Apply the distributive property
4×5y−4×2
Multiply the numbers
20y−4×2
Multiply the numbers
20y−8
18+20y−8
Subtract the numbers
10+20y
−140=10+20y
Rewrite the expression
10+20y=−140
Move the constant to the right side
20y=−150
Solution
2y=−15
Show Solution
