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Simplifying 46 + -1[7 + -8y + 9(6y + -2)] = -7(4y + -7) + -2[6(2y + -3) + -4 + 6y] Reorder the terms: 46 + -1[7 + -8y + 9(-2 + 6y)] = -7(4y + -7) + -2[6(2y + -3) + -4 + 6y] 46 + -1[7 + -8y + (-2 * 9 + 6y * 9)] = -7(4y + -7) + -2[6(2y + -3) + -4 + 6y] 46 + -1[7 + -8y + (-18 + 54y)] = -7(4y + -7) + -2[6(2y + -3) + -4 + 6y] Reorder the terms: 46 + -1[7 + -18 + -8y + 54y] = -7(4y + -7) + -2[6(2y + -3) + -4 + 6y] Combine like terms: 7 + -18 = -11 46 + -1[-11 + -8y + 54y] = -7(4y + -7) + -2[6(2y + -3) + -4 + 6y] Combine like terms: -8y + 54y = 46y 46 + -1[-11 + 46y] = -7(4y + -7) + -2[6(2y + -3) + -4 + 6y] 46 + [-11 * -1 + 46y * -1] = -7(4y + -7) + -2[6(2y + -3) + -4 + 6y] 46 + [11 + -46y] = -7(4y + -7) + -2[6(2y + -3) + -4 + 6y] Combine like terms: 46 + 11 = 57 57 + -46y = -7(4y + -7) + -2[6(2y + -3) + -4 + 6y] Reorder the terms: 57 + -46y = -7(-7 + 4y) + -2[6(2y + -3) + -4 + 6y] 57 + -46y = (-7 * -7 + 4y * -7) + -2[6(2y + -3) + -4 + 6y] 57 + -46y = (49 + -28y) + -2[6(2y + -3) + -4 + 6y] Reorder the terms: 57 + -46y = 49 + -28y + -2[6(-3 + 2y) + -4 + 6y] 57 + -46y = 49 + -28y + -2[(-3 * 6 + 2y * 6) + -4 + 6y] 57 + -46y = 49 + -28y + -2[(-18 + 12y) + -4 + 6y] Reorder the terms: 57 + -46y = 49 + -28y + -2[-18 + -4 + 12y + 6y] Combine like terms: -18 + -4 = -22 57 + -46y = 49 + -28y + -2[-22 + 12y + 6y] Combine like terms: 12y + 6y = 18y 57 + -46y = 49 + -28y + -2[-22 + 18y] 57 + -46y = 49 + -28y + [-22 * -2 + 18y * -2] 57 + -46y = 49 + -28y + [44 + -36y] Reorder the terms: 57 + -46y = 49 + 44 + -28y + -36y Combine like terms: 49 + 44 = 93 57 + -46y = 93 + -28y + -36y Combine like terms: -28y + -36y = -64y 57 + -46y = 93 + -64y Solving 57 + -46y = 93 + -64y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '64y' to each side of the equation. 57 + -46y + 64y = 93 + -64y + 64y Combine like terms: -46y + 64y = 18y 57 + 18y = 93 + -64y + 64y Combine like terms: -64y + 64y = 0 57 + 18y = 93 + 0 57 + 18y = 93 Add '-57' to each side of the equation. 57 + -57 + 18y = 93 + -57 Combine like terms: 57 + -57 = 0 0 + 18y = 93 + -57 18y = 93 + -57 Combine like terms: 93 + -57 = 36 18y = 36 Divide each side by '18'. y = 2 Simplifying y = 2
| 7h-3=2h | | 11=2x-10 | | 51/3-3 | | 10y-11=4 | | Y^2-(1/16) | | 10f-17=53 | | d-6/2=3d+1 | | -2a+2b+6a= | | 6(2x+1)=4x-8x | | 13-3r+2+6r-2r-1=3+2.9 | | 5m+8=33 | | 4x-5+2(2x)+17=-2-3x+(16-6) | | 18x-7=11x-21 | | X/16=-9 | | 9-abs(6x)=2 | | 12.8=x/8 | | -0.9x+8.99=-0.4x+1.99 | | (x+4)/16=(5/8)+((x-4)/6) | | 2-x=-6 | | -3y-6=-2y-8 | | 6a(a-b)+2a(a-b)= | | (9b-8)-4(2b+1)=-3 | | -5n=4m+4 | | 4(5x+7)=-29+17 | | T-(2/3)=2t-(7/6) | | 6x-[3x-(5x-4y)]-6y= | | 4/5s^2-5t^2 | | 12x^2-12x+504=0 | | 7e^3x=987 | | y=-1/8x+9 | | -0.6x-0.9x-3=6 | | 8y=-x+9 |