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Simplifying 5(y + 6) = 6(y + -3) Reorder the terms: 5(6 + y) = 6(y + -3) (6 * 5 + y * 5) = 6(y + -3) (30 + 5y) = 6(y + -3) Reorder the terms: 30 + 5y = 6(-3 + y) 30 + 5y = (-3 * 6 + y * 6) 30 + 5y = (-18 + 6y) Solving 30 + 5y = -18 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 30 + 5y + -6y = -18 + 6y + -6y Combine like terms: 5y + -6y = -1y 30 + -1y = -18 + 6y + -6y Combine like terms: 6y + -6y = 0 30 + -1y = -18 + 0 30 + -1y = -18 Add '-30' to each side of the equation. 30 + -30 + -1y = -18 + -30 Combine like terms: 30 + -30 = 0 0 + -1y = -18 + -30 -1y = -18 + -30 Combine like terms: -18 + -30 = -48 -1y = -48 Divide each side by '-1'. y = 48 Simplifying y = 48
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