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Simplifying 18 + -1[1 + 6y + -4(y + 3)] = -5(3y + -4) + -1[6(y + -1) + -16y + 15] Reorder the terms: 18 + -1[1 + 6y + -4(3 + y)] = -5(3y + -4) + -1[6(y + -1) + -16y + 15] 18 + -1[1 + 6y + (3 * -4 + y * -4)] = -5(3y + -4) + -1[6(y + -1) + -16y + 15] 18 + -1[1 + 6y + (-12 + -4y)] = -5(3y + -4) + -1[6(y + -1) + -16y + 15] Reorder the terms: 18 + -1[1 + -12 + 6y + -4y] = -5(3y + -4) + -1[6(y + -1) + -16y + 15] Combine like terms: 1 + -12 = -11 18 + -1[-11 + 6y + -4y] = -5(3y + -4) + -1[6(y + -1) + -16y + 15] Combine like terms: 6y + -4y = 2y 18 + -1[-11 + 2y] = -5(3y + -4) + -1[6(y + -1) + -16y + 15] 18 + [-11 * -1 + 2y * -1] = -5(3y + -4) + -1[6(y + -1) + -16y + 15] 18 + [11 + -2y] = -5(3y + -4) + -1[6(y + -1) + -16y + 15] Combine like terms: 18 + 11 = 29 29 + -2y = -5(3y + -4) + -1[6(y + -1) + -16y + 15] Reorder the terms: 29 + -2y = -5(-4 + 3y) + -1[6(y + -1) + -16y + 15] 29 + -2y = (-4 * -5 + 3y * -5) + -1[6(y + -1) + -16y + 15] 29 + -2y = (20 + -15y) + -1[6(y + -1) + -16y + 15] Reorder the terms: 29 + -2y = 20 + -15y + -1[6(-1 + y) + -16y + 15] 29 + -2y = 20 + -15y + -1[(-1 * 6 + y * 6) + -16y + 15] 29 + -2y = 20 + -15y + -1[(-6 + 6y) + -16y + 15] Reorder the terms: 29 + -2y = 20 + -15y + -1[-6 + 15 + 6y + -16y] Combine like terms: -6 + 15 = 9 29 + -2y = 20 + -15y + -1[9 + 6y + -16y] Combine like terms: 6y + -16y = -10y 29 + -2y = 20 + -15y + -1[9 + -10y] 29 + -2y = 20 + -15y + [9 * -1 + -10y * -1] 29 + -2y = 20 + -15y + [-9 + 10y] Reorder the terms: 29 + -2y = 20 + -9 + -15y + 10y Combine like terms: 20 + -9 = 11 29 + -2y = 11 + -15y + 10y Combine like terms: -15y + 10y = -5y 29 + -2y = 11 + -5y Solving 29 + -2y = 11 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 29 + -2y + 5y = 11 + -5y + 5y Combine like terms: -2y + 5y = 3y 29 + 3y = 11 + -5y + 5y Combine like terms: -5y + 5y = 0 29 + 3y = 11 + 0 29 + 3y = 11 Add '-29' to each side of the equation. 29 + -29 + 3y = 11 + -29 Combine like terms: 29 + -29 = 0 0 + 3y = 11 + -29 3y = 11 + -29 Combine like terms: 11 + -29 = -18 3y = -18 Divide each side by '3'. y = -6 Simplifying y = -6
| -40=b-13 | | x-0.4+x-4.9=0.5x | | r+10=40 | | -7u+4(u+8)=5 | | 2x+10y=300 | | 13t=13 | | 1/2z=1/4 | | y(t)=-16t^2+66.4t | | 10x+15y=365 | | 2h/3-4=5 | | -32=-8y+2(y-7) | | n-25=25 | | 1/4÷3/11 | | y(t)=-16t^2+66.4t+3 | | 84a-60b-12c= | | 6x-9+4x+7=180 | | a*x=-7 | | 7x*9=81 | | 7y-5y-15=19.76 | | 67000/450000 | | 1-.6k=1 | | Y=-.25x+3 | | 34+y=17 | | -5y-38=-2(y+7) | | 5/x-1=1 | | 3x+1.5=4x-0.7 | | 7z+8=42 | | -2/5=1/2v-1/3 | | 0=12x^2-184x+480 | | 9(g-97)=18 | | (K/13)=0 | | 6x+82=12x-12 |