Question
Solve the equation
y=−4
Evaluate
82=2−10(y−4)
Swap the sides of the equation
2−10(y−4)=82
Move the expression to the left side
2−10(y−4)−82=0
Subtract the numbers
−80−10(y−4)=0
Calculate
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Evaluate
−80−10(y−4)
Expand the expression
More Steps

Calculate
−10(y−4)
Apply the distributive property
−10y−(−10×4)
Multiply the numbers
−10y−(−40)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−10y+40
−80−10y+40
Add the numbers
−40−10y
−40−10y=0
Move the constant to the right-hand side and change its sign
−10y=0+40
Removing 0 doesn't change the value,so remove it from the expression
−10y=40
Change the signs on both sides of the equation
10y=−40
Divide both sides
1010y=10−40
Divide the numbers
y=10−40
Solution
More Steps

Evaluate
10−40
Reduce the numbers
1−4
Calculate
−4
y=−4
Show Solution

Rewrite the equation
Rewrite in standard form
Rewrite in slope-intercept form
y=−4
Evaluate
82=2−10(y−4)
Evaluate
More Steps

Evaluate
2−10(y−4)
Expand the expression
More Steps

Calculate
−10(y−4)
Apply the distributive property
−10y−(−10×4)
Multiply the numbers
−10y−(−40)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−10y+40
2−10y+40
Add the numbers
42−10y
82=42−10y
Rewrite the expression
42−10y=82
Move the constant to the right side
−10y=40
Multiply both sides
10y=−40
Solution
y=−4
Show Solution
