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Simplifying 51 + -1[2 + 7y + -2(y + 2)] = -3(5y + -5) + -1[5(y + -1) + -10y + 7] Reorder the terms: 51 + -1[2 + 7y + -2(2 + y)] = -3(5y + -5) + -1[5(y + -1) + -10y + 7] 51 + -1[2 + 7y + (2 * -2 + y * -2)] = -3(5y + -5) + -1[5(y + -1) + -10y + 7] 51 + -1[2 + 7y + (-4 + -2y)] = -3(5y + -5) + -1[5(y + -1) + -10y + 7] Reorder the terms: 51 + -1[2 + -4 + 7y + -2y] = -3(5y + -5) + -1[5(y + -1) + -10y + 7] Combine like terms: 2 + -4 = -2 51 + -1[-2 + 7y + -2y] = -3(5y + -5) + -1[5(y + -1) + -10y + 7] Combine like terms: 7y + -2y = 5y 51 + -1[-2 + 5y] = -3(5y + -5) + -1[5(y + -1) + -10y + 7] 51 + [-2 * -1 + 5y * -1] = -3(5y + -5) + -1[5(y + -1) + -10y + 7] 51 + [2 + -5y] = -3(5y + -5) + -1[5(y + -1) + -10y + 7] Combine like terms: 51 + 2 = 53 53 + -5y = -3(5y + -5) + -1[5(y + -1) + -10y + 7] Reorder the terms: 53 + -5y = -3(-5 + 5y) + -1[5(y + -1) + -10y + 7] 53 + -5y = (-5 * -3 + 5y * -3) + -1[5(y + -1) + -10y + 7] 53 + -5y = (15 + -15y) + -1[5(y + -1) + -10y + 7] Reorder the terms: 53 + -5y = 15 + -15y + -1[5(-1 + y) + -10y + 7] 53 + -5y = 15 + -15y + -1[(-1 * 5 + y * 5) + -10y + 7] 53 + -5y = 15 + -15y + -1[(-5 + 5y) + -10y + 7] Reorder the terms: 53 + -5y = 15 + -15y + -1[-5 + 7 + 5y + -10y] Combine like terms: -5 + 7 = 2 53 + -5y = 15 + -15y + -1[2 + 5y + -10y] Combine like terms: 5y + -10y = -5y 53 + -5y = 15 + -15y + -1[2 + -5y] 53 + -5y = 15 + -15y + [2 * -1 + -5y * -1] 53 + -5y = 15 + -15y + [-2 + 5y] Reorder the terms: 53 + -5y = 15 + -2 + -15y + 5y Combine like terms: 15 + -2 = 13 53 + -5y = 13 + -15y + 5y Combine like terms: -15y + 5y = -10y 53 + -5y = 13 + -10y Solving 53 + -5y = 13 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. 53 + -5y + 10y = 13 + -10y + 10y Combine like terms: -5y + 10y = 5y 53 + 5y = 13 + -10y + 10y Combine like terms: -10y + 10y = 0 53 + 5y = 13 + 0 53 + 5y = 13 Add '-53' to each side of the equation. 53 + -53 + 5y = 13 + -53 Combine like terms: 53 + -53 = 0 0 + 5y = 13 + -53 5y = 13 + -53 Combine like terms: 13 + -53 = -40 5y = -40 Divide each side by '5'. y = -8 Simplifying y = -8
| 8x^2y^-3/30x^-1y^2 | | -5=4(x-4)-(x-5) | | 4x^2-x-12=0 | | 5x+6=3x+46 | | M-8=-7 | | 3y-2=9y+34 | | 1/5(x-4)=5x-4(x-1)+12/5 | | 1/3(x-2)=4x-3(x-1)+5/3 | | -6(z-3)=30 | | 6(z-3)=60 | | 0.7x-0.3(7-4x)=-0.9(x-7) | | 2/3(2x+2)=3(3-4x)+19 | | u-3/5=61/2 | | 2/3(2x+2)=3(3-4x)+9 | | 7+3x=49 | | 0.2x^2+1.2x-8=0 | | 1/3x^2-5x+25=0 | | 5y-28=8+9y | | 8r-27=48+r | | 0.3x-0.5(14-3x)=-0.1(x-6) | | n^2=256 | | 10+3x=5x | | -6v+39=3(v-8) | | 7+5y=-23 | | 3/4*x=9 | | 0(1-2)= | | 0(2-1)= | | 95/x=15 | | 7x+9x=112 | | -6x-23=137 | | x/14-59=7 | | x+(x*.49)=160000 |