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Simplifying 3[5 + -3(4 + -1y)] + -5 = 5[(5y + -4) + 2] + -26 3[5 + (4 * -3 + -1y * -3)] + -5 = 5[(5y + -4) + 2] + -26 3[5 + (-12 + 3y)] + -5 = 5[(5y + -4) + 2] + -26 Combine like terms: 5 + -12 = -7 3[-7 + 3y] + -5 = 5[(5y + -4) + 2] + -26 [-7 * 3 + 3y * 3] + -5 = 5[(5y + -4) + 2] + -26 [-21 + 9y] + -5 = 5[(5y + -4) + 2] + -26 Reorder the terms: -21 + -5 + 9y = 5[(5y + -4) + 2] + -26 Combine like terms: -21 + -5 = -26 -26 + 9y = 5[(5y + -4) + 2] + -26 Reorder the terms: -26 + 9y = 5[(-4 + 5y) + 2] + -26 Remove parenthesis around (-4 + 5y) -26 + 9y = 5[-4 + 5y + 2] + -26 Reorder the terms: -26 + 9y = 5[-4 + 2 + 5y] + -26 Combine like terms: -4 + 2 = -2 -26 + 9y = 5[-2 + 5y] + -26 -26 + 9y = [-2 * 5 + 5y * 5] + -26 -26 + 9y = [-10 + 25y] + -26 Reorder the terms: -26 + 9y = -10 + -26 + 25y Combine like terms: -10 + -26 = -36 -26 + 9y = -36 + 25y Solving -26 + 9y = -36 + 25y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25y' to each side of the equation. -26 + 9y + -25y = -36 + 25y + -25y Combine like terms: 9y + -25y = -16y -26 + -16y = -36 + 25y + -25y Combine like terms: 25y + -25y = 0 -26 + -16y = -36 + 0 -26 + -16y = -36 Add '26' to each side of the equation. -26 + 26 + -16y = -36 + 26 Combine like terms: -26 + 26 = 0 0 + -16y = -36 + 26 -16y = -36 + 26 Combine like terms: -36 + 26 = -10 -16y = -10 Divide each side by '-16'. y = 0.625 Simplifying y = 0.625
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