Question
Solve the equation
Solve for y
y=−12
Evaluate
2(3y+5)=5(y−1)+3
Calculate
More Steps
Evaluate
2(3y+5)
Apply the distributive property
2×3y+2×5
Multiply the numbers
6y+2×5
Multiply the numbers
6y+10
6y+10=5(y−1)+3
Calculate
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Evaluate
5(y−1)+3
Expand the expression
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Calculate
5(y−1)
Apply the distributive property
5y−5×1
Any expression multiplied by 1 remains the same
5y−5
5y−5+3
Add the numbers
5y−2
6y+10=5y−2
Move the expression to the left side
6y+10−(5y−2)=0
Calculate the sum or difference
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Add the terms
6y+10−(5y−2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
6y+10−5y+2
Subtract the terms
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Evaluate
6y−5y
Collect like terms by calculating the sum or difference of their coefficients
(6−5)y
Subtract the numbers
y
y+10+2
Add the numbers
y+12
y+12=0
Move the constant to the right-hand side and change its sign
y=0−12
Solution
y=−12
Show Solution
Rewrite the equation
Rewrite in standard form
Rewrite in slope-intercept form
y=−12
Evaluate
2(3y+5)=5(y−1)+3
Evaluate
More Steps
Evaluate
5(y−1)+3
Expand the expression
More Steps
Calculate
5(y−1)
Apply the distributive property
5y−5×1
Any expression multiplied by 1 remains the same
5y−5
5y−5+3
Add the numbers
5y−2
2(3y+5)=5y−2
Multiply
More Steps
Evaluate
2(3y+5)
Apply the distributive property
2×3y+2×5
Multiply the numbers
6y+2×5
Multiply the numbers
6y+10
6y+10=5y−2
Move the variable to the left side
y+10=−2
Solution
y=−12
Show Solution