!100! POINTS PLEASE HELP ME BRAINLIEST!!!!!!!!!!!!

This should be a basic system of equations problem
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12x + 4y = 152
32x + 12y =420
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First solve 12x + 4y = 152 for x
Add -4y to each side
12x+4y+-4y=152+-4y
12x=-4y+152
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Divide each side by 12
12x ÷ 12 = [tex] \frac{-4y+152}{12} [/tex]
x = -1/3y + 38/3
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Substitute -1/3y + 38/3 for x in 32x+12y=420
32(-1/3y + 38/3)+12y=420
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Simplify each side
4/3y + 1216/3 = 420
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Add -1216/3 on each side
4/3y + 1216/3 + -1216/3 = 420 + -1216/3
4/3y = 44/3
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Divide each side by 4/3
4/3y ÷ 4/3 = 44/3 ÷ 4/3
y = 11
y = 11 is your answer