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Simplifying 49 + -2 + 7y + -2(y + 2) = -4(4y + -3) + -5(y + -1) + -9y + 1 Reorder the terms: 49 + -2 + 7y + -2(2 + y) = -4(4y + -3) + -5(y + -1) + -9y + 1 49 + -2 + 7y + (2 * -2 + y * -2) = -4(4y + -3) + -5(y + -1) + -9y + 1 49 + -2 + 7y + (-4 + -2y) = -4(4y + -3) + -5(y + -1) + -9y + 1 Reorder the terms: 49 + -2 + -4 + 7y + -2y = -4(4y + -3) + -5(y + -1) + -9y + 1 Combine like terms: 49 + -2 = 47 47 + -4 + 7y + -2y = -4(4y + -3) + -5(y + -1) + -9y + 1 Combine like terms: 47 + -4 = 43 43 + 7y + -2y = -4(4y + -3) + -5(y + -1) + -9y + 1 Combine like terms: 7y + -2y = 5y 43 + 5y = -4(4y + -3) + -5(y + -1) + -9y + 1 Reorder the terms: 43 + 5y = -4(-3 + 4y) + -5(y + -1) + -9y + 1 43 + 5y = (-3 * -4 + 4y * -4) + -5(y + -1) + -9y + 1 43 + 5y = (12 + -16y) + -5(y + -1) + -9y + 1 Reorder the terms: 43 + 5y = 12 + -16y + -5(-1 + y) + -9y + 1 43 + 5y = 12 + -16y + (-1 * -5 + y * -5) + -9y + 1 43 + 5y = 12 + -16y + (5 + -5y) + -9y + 1 Reorder the terms: 43 + 5y = 12 + 5 + 1 + -16y + -5y + -9y Combine like terms: 12 + 5 = 17 43 + 5y = 17 + 1 + -16y + -5y + -9y Combine like terms: 17 + 1 = 18 43 + 5y = 18 + -16y + -5y + -9y Combine like terms: -16y + -5y = -21y 43 + 5y = 18 + -21y + -9y Combine like terms: -21y + -9y = -30y 43 + 5y = 18 + -30y Solving 43 + 5y = 18 + -30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '30y' to each side of the equation. 43 + 5y + 30y = 18 + -30y + 30y Combine like terms: 5y + 30y = 35y 43 + 35y = 18 + -30y + 30y Combine like terms: -30y + 30y = 0 43 + 35y = 18 + 0 43 + 35y = 18 Add '-43' to each side of the equation. 43 + -43 + 35y = 18 + -43 Combine like terms: 43 + -43 = 0 0 + 35y = 18 + -43 35y = 18 + -43 Combine like terms: 18 + -43 = -25 35y = -25 Divide each side by '35'. y = -0.7142857143 Simplifying y = -0.7142857143
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