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Simplifying -3(2y + -6) = 4(1 + -2y) + 15 Reorder the terms: -3(-6 + 2y) = 4(1 + -2y) + 15 (-6 * -3 + 2y * -3) = 4(1 + -2y) + 15 (18 + -6y) = 4(1 + -2y) + 15 18 + -6y = (1 * 4 + -2y * 4) + 15 18 + -6y = (4 + -8y) + 15 Reorder the terms: 18 + -6y = 4 + 15 + -8y Combine like terms: 4 + 15 = 19 18 + -6y = 19 + -8y Solving 18 + -6y = 19 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 18 + -6y + 8y = 19 + -8y + 8y Combine like terms: -6y + 8y = 2y 18 + 2y = 19 + -8y + 8y Combine like terms: -8y + 8y = 0 18 + 2y = 19 + 0 18 + 2y = 19 Add '-18' to each side of the equation. 18 + -18 + 2y = 19 + -18 Combine like terms: 18 + -18 = 0 0 + 2y = 19 + -18 2y = 19 + -18 Combine like terms: 19 + -18 = 1 2y = 1 Divide each side by '2'. y = 0.5 Simplifying y = 0.5
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