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Simplifying 3[5 + -3(4 + -1y)] = 5[3(5y + -4) + 2] + -26 3[5 + (4 * -3 + -1y * -3)] = 5[3(5y + -4) + 2] + -26 3[5 + (-12 + 3y)] = 5[3(5y + -4) + 2] + -26 Combine like terms: 5 + -12 = -7 3[-7 + 3y] = 5[3(5y + -4) + 2] + -26 [-7 * 3 + 3y * 3] = 5[3(5y + -4) + 2] + -26 [-21 + 9y] = 5[3(5y + -4) + 2] + -26 Reorder the terms: -21 + 9y = 5[3(-4 + 5y) + 2] + -26 -21 + 9y = 5[(-4 * 3 + 5y * 3) + 2] + -26 -21 + 9y = 5[(-12 + 15y) + 2] + -26 Reorder the terms: -21 + 9y = 5[-12 + 2 + 15y] + -26 Combine like terms: -12 + 2 = -10 -21 + 9y = 5[-10 + 15y] + -26 -21 + 9y = [-10 * 5 + 15y * 5] + -26 -21 + 9y = [-50 + 75y] + -26 Reorder the terms: -21 + 9y = -50 + -26 + 75y Combine like terms: -50 + -26 = -76 -21 + 9y = -76 + 75y Solving -21 + 9y = -76 + 75y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-75y' to each side of the equation. -21 + 9y + -75y = -76 + 75y + -75y Combine like terms: 9y + -75y = -66y -21 + -66y = -76 + 75y + -75y Combine like terms: 75y + -75y = 0 -21 + -66y = -76 + 0 -21 + -66y = -76 Add '21' to each side of the equation. -21 + 21 + -66y = -76 + 21 Combine like terms: -21 + 21 = 0 0 + -66y = -76 + 21 -66y = -76 + 21 Combine like terms: -76 + 21 = -55 -66y = -55 Divide each side by '-66'. y = 0.8333333333 Simplifying y = 0.8333333333
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