Solve for y 4-6(2-3y)=2y-(4-5y)

Math
4-6(2-3y)=2y-(4-5y)
Since y is on the right side of the equation, switch the sides so it is on the left side of the equation.
2y-(4-5y)=4-6(2-3y)
Simplify 2y-(4-5y).
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Simplify each term.
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Apply the distributive property.
2y-1⋅4-(-5y)=4-6(2-3y)
Multiply -1 by 4.
2y-4-(-5y)=4-6(2-3y)
Multiply -5 by -1.
2y-4+5y=4-6(2-3y)
2y-4+5y=4-6(2-3y)
Add 2y and 5y.
7y-4=4-6(2-3y)
7y-4=4-6(2-3y)
Simplify 4-6(2-3y).
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Simplify each term.
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Apply the distributive property.
7y-4=4-6⋅2-6(-3y)
Multiply -6 by 2.
7y-4=4-12-6(-3y)
Multiply -3 by -6.
7y-4=4-12+18y
7y-4=4-12+18y
Subtract 12 from 4.
7y-4=-8+18y
7y-4=-8+18y
Move all terms containing y to the left side of the equation.
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Subtract 18y from both sides of the equation.
7y-4-18y=-8
Subtract 18y from 7y.
-11y-4=-8
-11y-4=-8
Move all terms not containing y to the right side of the equation.
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Add 4 to both sides of the equation.
-11y=-8+4
Add -8 and 4.
-11y=-4
-11y=-4
Divide each term by -11 and simplify.
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Divide each term in -11y=-4 by -11.
-11y-11=-4-11
Cancel the common factor of -11.
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Cancel the common factor.
-11y-11=-4-11
Divide y by 1.
y=-4-11
y=-4-11
Dividing two negative values results in a positive value.
y=411
y=411
The result can be shown in multiple forms.
Exact Form:
y=411
Decimal Form:
y=0.36‾
Solve for y 4-6(2-3y)=2y-(4-5y)

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