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Simplifying 3(6y + -2) + 24 = 6(4y + -4) + -15 Reorder the terms: 3(-2 + 6y) + 24 = 6(4y + -4) + -15 (-2 * 3 + 6y * 3) + 24 = 6(4y + -4) + -15 (-6 + 18y) + 24 = 6(4y + -4) + -15 Reorder the terms: -6 + 24 + 18y = 6(4y + -4) + -15 Combine like terms: -6 + 24 = 18 18 + 18y = 6(4y + -4) + -15 Reorder the terms: 18 + 18y = 6(-4 + 4y) + -15 18 + 18y = (-4 * 6 + 4y * 6) + -15 18 + 18y = (-24 + 24y) + -15 Reorder the terms: 18 + 18y = -24 + -15 + 24y Combine like terms: -24 + -15 = -39 18 + 18y = -39 + 24y Solving 18 + 18y = -39 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. 18 + 18y + -24y = -39 + 24y + -24y Combine like terms: 18y + -24y = -6y 18 + -6y = -39 + 24y + -24y Combine like terms: 24y + -24y = 0 18 + -6y = -39 + 0 18 + -6y = -39 Add '-18' to each side of the equation. 18 + -18 + -6y = -39 + -18 Combine like terms: 18 + -18 = 0 0 + -6y = -39 + -18 -6y = -39 + -18 Combine like terms: -39 + -18 = -57 -6y = -57 Divide each side by '-6'. y = 9.5 Simplifying y = 9.5
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