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Simplifying 15 + -1[1 + 6y + -3(y + 9)] = 6(2y + -4) + -1[5(y + -9) + -16y + 8] Reorder the terms: 15 + -1[1 + 6y + -3(9 + y)] = 6(2y + -4) + -1[5(y + -9) + -16y + 8] 15 + -1[1 + 6y + (9 * -3 + y * -3)] = 6(2y + -4) + -1[5(y + -9) + -16y + 8] 15 + -1[1 + 6y + (-27 + -3y)] = 6(2y + -4) + -1[5(y + -9) + -16y + 8] Reorder the terms: 15 + -1[1 + -27 + 6y + -3y] = 6(2y + -4) + -1[5(y + -9) + -16y + 8] Combine like terms: 1 + -27 = -26 15 + -1[-26 + 6y + -3y] = 6(2y + -4) + -1[5(y + -9) + -16y + 8] Combine like terms: 6y + -3y = 3y 15 + -1[-26 + 3y] = 6(2y + -4) + -1[5(y + -9) + -16y + 8] 15 + [-26 * -1 + 3y * -1] = 6(2y + -4) + -1[5(y + -9) + -16y + 8] 15 + [26 + -3y] = 6(2y + -4) + -1[5(y + -9) + -16y + 8] Combine like terms: 15 + 26 = 41 41 + -3y = 6(2y + -4) + -1[5(y + -9) + -16y + 8] Reorder the terms: 41 + -3y = 6(-4 + 2y) + -1[5(y + -9) + -16y + 8] 41 + -3y = (-4 * 6 + 2y * 6) + -1[5(y + -9) + -16y + 8] 41 + -3y = (-24 + 12y) + -1[5(y + -9) + -16y + 8] Reorder the terms: 41 + -3y = -24 + 12y + -1[5(-9 + y) + -16y + 8] 41 + -3y = -24 + 12y + -1[(-9 * 5 + y * 5) + -16y + 8] 41 + -3y = -24 + 12y + -1[(-45 + 5y) + -16y + 8] Reorder the terms: 41 + -3y = -24 + 12y + -1[-45 + 8 + 5y + -16y] Combine like terms: -45 + 8 = -37 41 + -3y = -24 + 12y + -1[-37 + 5y + -16y] Combine like terms: 5y + -16y = -11y 41 + -3y = -24 + 12y + -1[-37 + -11y] 41 + -3y = -24 + 12y + [-37 * -1 + -11y * -1] 41 + -3y = -24 + 12y + [37 + 11y] Reorder the terms: 41 + -3y = -24 + 37 + 12y + 11y Combine like terms: -24 + 37 = 13 41 + -3y = 13 + 12y + 11y Combine like terms: 12y + 11y = 23y 41 + -3y = 13 + 23y Solving 41 + -3y = 13 + 23y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-23y' to each side of the equation. 41 + -3y + -23y = 13 + 23y + -23y Combine like terms: -3y + -23y = -26y 41 + -26y = 13 + 23y + -23y Combine like terms: 23y + -23y = 0 41 + -26y = 13 + 0 41 + -26y = 13 Add '-41' to each side of the equation. 41 + -41 + -26y = 13 + -41 Combine like terms: 41 + -41 = 0 0 + -26y = 13 + -41 -26y = 13 + -41 Combine like terms: 13 + -41 = -28 -26y = -28 Divide each side by '-26'. y = 1.076923077 Simplifying y = 1.076923077
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