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Simplifying 4(0.5y + 7.5) + 2 = -30 Reorder the terms: 4(7.5 + 0.5y) + 2 = -30 (7.5 * 4 + 0.5y * 4) + 2 = -30 (30 + 2y) + 2 = -30 Reorder the terms: 30 + 2 + 2y = -30 Combine like terms: 30 + 2 = 32 32 + 2y = -30 Solving 32 + 2y = -30 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 2y = -30 + -32 Combine like terms: 32 + -32 = 0 0 + 2y = -30 + -32 2y = -30 + -32 Combine like terms: -30 + -32 = -62 2y = -62 Divide each side by '2'. y = -31 Simplifying y = -31
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