1/2y + 6 + 3/2y = 2y - 6y -30
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Simplify each side
1/2y + 6 + 3/2y = 2y + -6y + -30
(Combine the like terms)
(1/2y + 3/2y) + 6 = (2y + -6y) + (-30)
2y+6=-4y+-30
2y+6=-4y-30
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add 4y to each side
2y+6+4y=-4y-30+4y
6y+6=-30
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Now subtract 6 from each side
6y+6-6=-30-6
6y=-36
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Finally, divide each side by 6
6y ÷ 6 = -36 ÷ 6
y = -6
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Y = -6 is your answer