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Simplifying -5(2y + -3) = 2(1 + -6y) + 14 Reorder the terms: -5(-3 + 2y) = 2(1 + -6y) + 14 (-3 * -5 + 2y * -5) = 2(1 + -6y) + 14 (15 + -10y) = 2(1 + -6y) + 14 15 + -10y = (1 * 2 + -6y * 2) + 14 15 + -10y = (2 + -12y) + 14 Reorder the terms: 15 + -10y = 2 + 14 + -12y Combine like terms: 2 + 14 = 16 15 + -10y = 16 + -12y Solving 15 + -10y = 16 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. 15 + -10y + 12y = 16 + -12y + 12y Combine like terms: -10y + 12y = 2y 15 + 2y = 16 + -12y + 12y Combine like terms: -12y + 12y = 0 15 + 2y = 16 + 0 15 + 2y = 16 Add '-15' to each side of the equation. 15 + -15 + 2y = 16 + -15 Combine like terms: 15 + -15 = 0 0 + 2y = 16 + -15 2y = 16 + -15 Combine like terms: 16 + -15 = 1 2y = 1 Divide each side by '2'. y = 0.5 Simplifying y = 0.5
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