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Simplifying 48 = -6(5y + 2) Reorder the terms: 48 = -6(2 + 5y) 48 = (2 * -6 + 5y * -6) 48 = (-12 + -30y) Solving 48 = -12 + -30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '30y' to each side of the equation. 48 + 30y = -12 + -30y + 30y Combine like terms: -30y + 30y = 0 48 + 30y = -12 + 0 48 + 30y = -12 Add '-48' to each side of the equation. 48 + -48 + 30y = -12 + -48 Combine like terms: 48 + -48 = 0 0 + 30y = -12 + -48 30y = -12 + -48 Combine like terms: -12 + -48 = -60 30y = -60 Divide each side by '30'. y = -2 Simplifying y = -2
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