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igomit [66]
3 years ago
14

2(y-4)+5=3(y+2) for y​

Mathematics
2 answers:
MariettaO [177]3 years ago
7 0

Answer:

y = -9

Step-by-step explanation:

<u><em>Expand:</em></u>

2y − 8 + 5 = 3y + 6

<u><em>Simplify 2y-8+5 to 2y-3:</em></u>

2y − 3 = 3y + 6<u><em> </em></u>

<u><em>Subtract 2y from both sides:</em></u>

−3 = 3y + 6 − 2y

<em><u>Simplify 3y + 6 - 2y to y + 6:</u></em>

−3 = y + 6

<em><u>Subtract 6 from both sides:</u></em>

−3 − 6 = y

<em><u>Simplify -3 - 6 to -9:</u></em>

<u>y = −9</u>

<u><em /></u>

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brilliants [131]3 years ago
3 0

2(y-4)+5=3(y+2)

multiply the first bracket by 2

(2)(y)=2y

(2)(-4)=-8

multiply the second bracket by 3

(3)(y)=3y

(3)(2)=6

2y-8+5=3y+6

2y-3=3y+6

move 3y to the other side

sign changes from +3y to -3y

2y-3y-3=3y-3y+6

-y-3=6

move -3 to the other side

-y-3+3=6+3

-y=9

multiply both sides by -1 to get +y

(-1)(-y)=9(-1)

Answer:

y=-9

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