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Simplifying 36 + -1[1 + 9y + -3(y + 4)] = -4(4y + -6) + -1[8(y + -1) + -11y + 20] Reorder the terms: 36 + -1[1 + 9y + -3(4 + y)] = -4(4y + -6) + -1[8(y + -1) + -11y + 20] 36 + -1[1 + 9y + (4 * -3 + y * -3)] = -4(4y + -6) + -1[8(y + -1) + -11y + 20] 36 + -1[1 + 9y + (-12 + -3y)] = -4(4y + -6) + -1[8(y + -1) + -11y + 20] Reorder the terms: 36 + -1[1 + -12 + 9y + -3y] = -4(4y + -6) + -1[8(y + -1) + -11y + 20] Combine like terms: 1 + -12 = -11 36 + -1[-11 + 9y + -3y] = -4(4y + -6) + -1[8(y + -1) + -11y + 20] Combine like terms: 9y + -3y = 6y 36 + -1[-11 + 6y] = -4(4y + -6) + -1[8(y + -1) + -11y + 20] 36 + [-11 * -1 + 6y * -1] = -4(4y + -6) + -1[8(y + -1) + -11y + 20] 36 + [11 + -6y] = -4(4y + -6) + -1[8(y + -1) + -11y + 20] Combine like terms: 36 + 11 = 47 47 + -6y = -4(4y + -6) + -1[8(y + -1) + -11y + 20] Reorder the terms: 47 + -6y = -4(-6 + 4y) + -1[8(y + -1) + -11y + 20] 47 + -6y = (-6 * -4 + 4y * -4) + -1[8(y + -1) + -11y + 20] 47 + -6y = (24 + -16y) + -1[8(y + -1) + -11y + 20] Reorder the terms: 47 + -6y = 24 + -16y + -1[8(-1 + y) + -11y + 20] 47 + -6y = 24 + -16y + -1[(-1 * 8 + y * 8) + -11y + 20] 47 + -6y = 24 + -16y + -1[(-8 + 8y) + -11y + 20] Reorder the terms: 47 + -6y = 24 + -16y + -1[-8 + 20 + 8y + -11y] Combine like terms: -8 + 20 = 12 47 + -6y = 24 + -16y + -1[12 + 8y + -11y] Combine like terms: 8y + -11y = -3y 47 + -6y = 24 + -16y + -1[12 + -3y] 47 + -6y = 24 + -16y + [12 * -1 + -3y * -1] 47 + -6y = 24 + -16y + [-12 + 3y] Reorder the terms: 47 + -6y = 24 + -12 + -16y + 3y Combine like terms: 24 + -12 = 12 47 + -6y = 12 + -16y + 3y Combine like terms: -16y + 3y = -13y 47 + -6y = 12 + -13y Solving 47 + -6y = 12 + -13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13y' to each side of the equation. 47 + -6y + 13y = 12 + -13y + 13y Combine like terms: -6y + 13y = 7y 47 + 7y = 12 + -13y + 13y Combine like terms: -13y + 13y = 0 47 + 7y = 12 + 0 47 + 7y = 12 Add '-47' to each side of the equation. 47 + -47 + 7y = 12 + -47 Combine like terms: 47 + -47 = 0 0 + 7y = 12 + -47 7y = 12 + -47 Combine like terms: 12 + -47 = -35 7y = -35 Divide each side by '7'. y = -5 Simplifying y = -5
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