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Simplifying 3(5 + -4y) = -2(7y + 1) (5 * 3 + -4y * 3) = -2(7y + 1) (15 + -12y) = -2(7y + 1) Reorder the terms: 15 + -12y = -2(1 + 7y) 15 + -12y = (1 * -2 + 7y * -2) 15 + -12y = (-2 + -14y) Solving 15 + -12y = -2 + -14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14y' to each side of the equation. 15 + -12y + 14y = -2 + -14y + 14y Combine like terms: -12y + 14y = 2y 15 + 2y = -2 + -14y + 14y Combine like terms: -14y + 14y = 0 15 + 2y = -2 + 0 15 + 2y = -2 Add '-15' to each side of the equation. 15 + -15 + 2y = -2 + -15 Combine like terms: 15 + -15 = 0 0 + 2y = -2 + -15 2y = -2 + -15 Combine like terms: -2 + -15 = -17 2y = -17 Divide each side by '2'. y = -8.5 Simplifying y = -8.5
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