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Simplifying -2 + -1[1 + 9y + -4(y + 5)] = -5(3y + -7) + -1[9(y + -1) + -17y + 31] Reorder the terms: -2 + -1[1 + 9y + -4(5 + y)] = -5(3y + -7) + -1[9(y + -1) + -17y + 31] -2 + -1[1 + 9y + (5 * -4 + y * -4)] = -5(3y + -7) + -1[9(y + -1) + -17y + 31] -2 + -1[1 + 9y + (-20 + -4y)] = -5(3y + -7) + -1[9(y + -1) + -17y + 31] Reorder the terms: -2 + -1[1 + -20 + 9y + -4y] = -5(3y + -7) + -1[9(y + -1) + -17y + 31] Combine like terms: 1 + -20 = -19 -2 + -1[-19 + 9y + -4y] = -5(3y + -7) + -1[9(y + -1) + -17y + 31] Combine like terms: 9y + -4y = 5y -2 + -1[-19 + 5y] = -5(3y + -7) + -1[9(y + -1) + -17y + 31] -2 + [-19 * -1 + 5y * -1] = -5(3y + -7) + -1[9(y + -1) + -17y + 31] -2 + [19 + -5y] = -5(3y + -7) + -1[9(y + -1) + -17y + 31] Combine like terms: -2 + 19 = 17 17 + -5y = -5(3y + -7) + -1[9(y + -1) + -17y + 31] Reorder the terms: 17 + -5y = -5(-7 + 3y) + -1[9(y + -1) + -17y + 31] 17 + -5y = (-7 * -5 + 3y * -5) + -1[9(y + -1) + -17y + 31] 17 + -5y = (35 + -15y) + -1[9(y + -1) + -17y + 31] Reorder the terms: 17 + -5y = 35 + -15y + -1[9(-1 + y) + -17y + 31] 17 + -5y = 35 + -15y + -1[(-1 * 9 + y * 9) + -17y + 31] 17 + -5y = 35 + -15y + -1[(-9 + 9y) + -17y + 31] Reorder the terms: 17 + -5y = 35 + -15y + -1[-9 + 31 + 9y + -17y] Combine like terms: -9 + 31 = 22 17 + -5y = 35 + -15y + -1[22 + 9y + -17y] Combine like terms: 9y + -17y = -8y 17 + -5y = 35 + -15y + -1[22 + -8y] 17 + -5y = 35 + -15y + [22 * -1 + -8y * -1] 17 + -5y = 35 + -15y + [-22 + 8y] Reorder the terms: 17 + -5y = 35 + -22 + -15y + 8y Combine like terms: 35 + -22 = 13 17 + -5y = 13 + -15y + 8y Combine like terms: -15y + 8y = -7y 17 + -5y = 13 + -7y Solving 17 + -5y = 13 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 17 + -5y + 7y = 13 + -7y + 7y Combine like terms: -5y + 7y = 2y 17 + 2y = 13 + -7y + 7y Combine like terms: -7y + 7y = 0 17 + 2y = 13 + 0 17 + 2y = 13 Add '-17' to each side of the equation. 17 + -17 + 2y = 13 + -17 Combine like terms: 17 + -17 = 0 0 + 2y = 13 + -17 2y = 13 + -17 Combine like terms: 13 + -17 = -4 2y = -4 Divide each side by '2'. y = -2 Simplifying y = -2
| 42=0.5(38+x) | | 6x+1=2x+45 | | 6(1/3)-2y=5 | | 3/5x12/29 | | 10x=0.001 | | 43=0.5(43+x) | | 2y-4=12y+56 | | 3y-8=14-8y | | 150-5x=-4x+24 | | (4x-4)(8x^2-2x+8)=0 | | 19=57x | | -17=(-5)(2)+-7 | | 8w-14w=24 | | 150-5x-4x=24 | | 6x-6x-10=10 | | f(x)=x^3-17x^2+81x-65 | | n+8n=35 | | (8a-2)(5a^2-3a-1)=0 | | 5x+56=180 | | 14-6x-8=2(2x-3)+3 | | (3x-30)+(2x+26)=180 | | (6N-7)X(7N^2-7N+8)=0 | | kn+4f=9u | | 12/4=5x+2(-6x) | | -4n+3=-17 | | (3k-4)(3k^2-81k-1)=0 | | r-20=-11 | | 3=5x+2(-6x) | | 5m-30=11m | | 7-4[5-(6y-4)]= | | m-9=-29 | | 27=8x-29 |