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Simplifying -1(7y + 4) + -1(2y + -5) = 14 + -1(5y + -3) Reorder the terms: -1(4 + 7y) + -1(2y + -5) = 14 + -1(5y + -3) (4 * -1 + 7y * -1) + -1(2y + -5) = 14 + -1(5y + -3) (-4 + -7y) + -1(2y + -5) = 14 + -1(5y + -3) Reorder the terms: -4 + -7y + -1(-5 + 2y) = 14 + -1(5y + -3) -4 + -7y + (-5 * -1 + 2y * -1) = 14 + -1(5y + -3) -4 + -7y + (5 + -2y) = 14 + -1(5y + -3) Reorder the terms: -4 + 5 + -7y + -2y = 14 + -1(5y + -3) Combine like terms: -4 + 5 = 1 1 + -7y + -2y = 14 + -1(5y + -3) Combine like terms: -7y + -2y = -9y 1 + -9y = 14 + -1(5y + -3) Reorder the terms: 1 + -9y = 14 + -1(-3 + 5y) 1 + -9y = 14 + (-3 * -1 + 5y * -1) 1 + -9y = 14 + (3 + -5y) Combine like terms: 14 + 3 = 17 1 + -9y = 17 + -5y Solving 1 + -9y = 17 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 1 + -9y + 5y = 17 + -5y + 5y Combine like terms: -9y + 5y = -4y 1 + -4y = 17 + -5y + 5y Combine like terms: -5y + 5y = 0 1 + -4y = 17 + 0 1 + -4y = 17 Add '-1' to each side of the equation. 1 + -1 + -4y = 17 + -1 Combine like terms: 1 + -1 = 0 0 + -4y = 17 + -1 -4y = 17 + -1 Combine like terms: 17 + -1 = 16 -4y = 16 Divide each side by '-4'. y = -4 Simplifying y = -4
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