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Simplifying -41 + -1[2 + 5y + -9(y + 2)] = -5(2y + -5) + -1[7(y + -1) + -3y + 3] Reorder the terms: -41 + -1[2 + 5y + -9(2 + y)] = -5(2y + -5) + -1[7(y + -1) + -3y + 3] -41 + -1[2 + 5y + (2 * -9 + y * -9)] = -5(2y + -5) + -1[7(y + -1) + -3y + 3] -41 + -1[2 + 5y + (-18 + -9y)] = -5(2y + -5) + -1[7(y + -1) + -3y + 3] Reorder the terms: -41 + -1[2 + -18 + 5y + -9y] = -5(2y + -5) + -1[7(y + -1) + -3y + 3] Combine like terms: 2 + -18 = -16 -41 + -1[-16 + 5y + -9y] = -5(2y + -5) + -1[7(y + -1) + -3y + 3] Combine like terms: 5y + -9y = -4y -41 + -1[-16 + -4y] = -5(2y + -5) + -1[7(y + -1) + -3y + 3] -41 + [-16 * -1 + -4y * -1] = -5(2y + -5) + -1[7(y + -1) + -3y + 3] -41 + [16 + 4y] = -5(2y + -5) + -1[7(y + -1) + -3y + 3] Combine like terms: -41 + 16 = -25 -25 + 4y = -5(2y + -5) + -1[7(y + -1) + -3y + 3] Reorder the terms: -25 + 4y = -5(-5 + 2y) + -1[7(y + -1) + -3y + 3] -25 + 4y = (-5 * -5 + 2y * -5) + -1[7(y + -1) + -3y + 3] -25 + 4y = (25 + -10y) + -1[7(y + -1) + -3y + 3] Reorder the terms: -25 + 4y = 25 + -10y + -1[7(-1 + y) + -3y + 3] -25 + 4y = 25 + -10y + -1[(-1 * 7 + y * 7) + -3y + 3] -25 + 4y = 25 + -10y + -1[(-7 + 7y) + -3y + 3] Reorder the terms: -25 + 4y = 25 + -10y + -1[-7 + 3 + 7y + -3y] Combine like terms: -7 + 3 = -4 -25 + 4y = 25 + -10y + -1[-4 + 7y + -3y] Combine like terms: 7y + -3y = 4y -25 + 4y = 25 + -10y + -1[-4 + 4y] -25 + 4y = 25 + -10y + [-4 * -1 + 4y * -1] -25 + 4y = 25 + -10y + [4 + -4y] Reorder the terms: -25 + 4y = 25 + 4 + -10y + -4y Combine like terms: 25 + 4 = 29 -25 + 4y = 29 + -10y + -4y Combine like terms: -10y + -4y = -14y -25 + 4y = 29 + -14y Solving -25 + 4y = 29 + -14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14y' to each side of the equation. -25 + 4y + 14y = 29 + -14y + 14y Combine like terms: 4y + 14y = 18y -25 + 18y = 29 + -14y + 14y Combine like terms: -14y + 14y = 0 -25 + 18y = 29 + 0 -25 + 18y = 29 Add '25' to each side of the equation. -25 + 25 + 18y = 29 + 25 Combine like terms: -25 + 25 = 0 0 + 18y = 29 + 25 18y = 29 + 25 Combine like terms: 29 + 25 = 54 18y = 54 Divide each side by '18'. y = 3 Simplifying y = 3
| 6t=7t+4 | | -5/6x=7 | | -5.94+2.6q=3.7q | | -10-11x-24=3x | | -7(w-1)=-3w-9 | | -2r=-7-r | | -9+6b=-b | | w-10=8.1 | | 5x-2y+7z=12 | | -3.9y=-1.86-4y | | 10-3c=-2c | | 8-6d=2-5d | | 3(p+4)+-4p+8(p+1)=90 | | -7x-18=8(x-6) | | 3n=2n+7 | | -1.5c-3.12=15.58+1.9c | | -6-2d=d | | 2-10c=-8c-6 | | 35+p=119 | | 8+3(-4n+4)=3(7n+1)-6 | | (6(2x-1))/5=-18 | | -3p=-7-4p | | -5k+10.9k-19.11=8.4k+9.14 | | d+4(d+3)+2(d+5)=57 | | 5j=-8+4j | | 8[2-(-6x-2)]=256x+110 | | -4f=-f-9 | | 0.31e=f | | 0.98d=f | | 8[2-(-6x+2)]=256x+110 | | -32-2m=8(-3m-4)-7m | | 13.4+5b=3b |