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Simplifying -1(7y + 4) + -1(2y + -5) = 14 + -5(y + -3) Reorder the terms: -1(4 + 7y) + -1(2y + -5) = 14 + -5(y + -3) (4 * -1 + 7y * -1) + -1(2y + -5) = 14 + -5(y + -3) (-4 + -7y) + -1(2y + -5) = 14 + -5(y + -3) Reorder the terms: -4 + -7y + -1(-5 + 2y) = 14 + -5(y + -3) -4 + -7y + (-5 * -1 + 2y * -1) = 14 + -5(y + -3) -4 + -7y + (5 + -2y) = 14 + -5(y + -3) Reorder the terms: -4 + 5 + -7y + -2y = 14 + -5(y + -3) Combine like terms: -4 + 5 = 1 1 + -7y + -2y = 14 + -5(y + -3) Combine like terms: -7y + -2y = -9y 1 + -9y = 14 + -5(y + -3) Reorder the terms: 1 + -9y = 14 + -5(-3 + y) 1 + -9y = 14 + (-3 * -5 + y * -5) 1 + -9y = 14 + (15 + -5y) Combine like terms: 14 + 15 = 29 1 + -9y = 29 + -5y Solving 1 + -9y = 29 + -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 = 29 + -5y + 5y Combine like terms: -9y + 5y = -4y 1 + -4y = 29 + -5y + 5y Combine like terms: -5y + 5y = 0 1 + -4y = 29 + 0 1 + -4y = 29 Add '-1' to each side of the equation. 1 + -1 + -4y = 29 + -1 Combine like terms: 1 + -1 = 0 0 + -4y = 29 + -1 -4y = 29 + -1 Combine like terms: 29 + -1 = 28 -4y = 28 Divide each side by '-4'. y = -7 Simplifying y = -7
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