Solve for the variable.Check solution. -3(y-3y)+4=-4(3y-y)+6+13y
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`-3(y-3y)+4 =-4(3y-y)+6+13y`
Start by combining like terms inside the parentheses.
`-3(-2y) +4 = -4(2y) +6 +13y`
Multiply terms inside the parentheses by `-3` on the left side of the equation and `-4` on the right side of the equation.
`6y +4 = -8y +6 +13y`
Combine like terms on the right side of the equation.
`6y+4 = 5y +6`
Now subtract `5y` from both sides of the equation.
`1y +4 =6`
Subtract `4` from both sides of the equation.
`1y=2`
`y=2`
Check your solution by plugging your answer into the original equation.
`-3(2-3(2))+4 = -4(3(2)-2) +6 +13(2)`
`-3(-4) +4 = -4(4)+6+26`
`12+4=-16+6+26`
`16= -16+32`
`16=16` Check
The solution is y=2.
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-3(y-3y)+4=-4(3y-y)+6+13y
-3y+9y+4=-12y+4y+6+13y combine like terms
6y+4=5y+6 now combine like terms again
6y-5y=6-4
1y=2
y=2
-3y +9y +4 = -12y +4y +6 + 13y
i.e y = 2..
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