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Simplifying 5(4y + 6) = 4(2y + 3) + -18 Reorder the terms: 5(6 + 4y) = 4(2y + 3) + -18 (6 * 5 + 4y * 5) = 4(2y + 3) + -18 (30 + 20y) = 4(2y + 3) + -18 Reorder the terms: 30 + 20y = 4(3 + 2y) + -18 30 + 20y = (3 * 4 + 2y * 4) + -18 30 + 20y = (12 + 8y) + -18 Reorder the terms: 30 + 20y = 12 + -18 + 8y Combine like terms: 12 + -18 = -6 30 + 20y = -6 + 8y Solving 30 + 20y = -6 + 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. 30 + 20y + -8y = -6 + 8y + -8y Combine like terms: 20y + -8y = 12y 30 + 12y = -6 + 8y + -8y Combine like terms: 8y + -8y = 0 30 + 12y = -6 + 0 30 + 12y = -6 Add '-30' to each side of the equation. 30 + -30 + 12y = -6 + -30 Combine like terms: 30 + -30 = 0 0 + 12y = -6 + -30 12y = -6 + -30 Combine like terms: -6 + -30 = -36 12y = -36 Divide each side by '12'. y = -3 Simplifying y = -3
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