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solve for y in the equation[tex]3(y+2)=5y-4[/tex] and give the reason for each step in the process

Sagot :

Answer:

y=5

Step-by-step explanation:

[tex]3(y+2)=5y-4[/tex] : given

[tex]3y+6=5y-4[/tex]    : distributive property (multiply things in parentheses by the outer value of 3)

[tex]3y+10=5y[/tex]         : add 4 to both sides to isolate the right side y value

[tex]10=2y[/tex]                 : subtract 3y from both sides to further isolate "y" and the constant

[tex]y=5[/tex]                    : divide by 2 on both sides to get value for a single "y"