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Simplifying 45 + -1[4 + -2y + -4(y + 7)] = -4(1 + 3y) + -1[4 + -3(y + 2) + -4y + 10] Reorder the terms: 45 + -1[4 + -2y + -4(7 + y)] = -4(1 + 3y) + -1[4 + -3(y + 2) + -4y + 10] 45 + -1[4 + -2y + (7 * -4 + y * -4)] = -4(1 + 3y) + -1[4 + -3(y + 2) + -4y + 10] 45 + -1[4 + -2y + (-28 + -4y)] = -4(1 + 3y) + -1[4 + -3(y + 2) + -4y + 10] Reorder the terms: 45 + -1[4 + -28 + -2y + -4y] = -4(1 + 3y) + -1[4 + -3(y + 2) + -4y + 10] Combine like terms: 4 + -28 = -24 45 + -1[-24 + -2y + -4y] = -4(1 + 3y) + -1[4 + -3(y + 2) + -4y + 10] Combine like terms: -2y + -4y = -6y 45 + -1[-24 + -6y] = -4(1 + 3y) + -1[4 + -3(y + 2) + -4y + 10] 45 + [-24 * -1 + -6y * -1] = -4(1 + 3y) + -1[4 + -3(y + 2) + -4y + 10] 45 + [24 + 6y] = -4(1 + 3y) + -1[4 + -3(y + 2) + -4y + 10] Combine like terms: 45 + 24 = 69 69 + 6y = -4(1 + 3y) + -1[4 + -3(y + 2) + -4y + 10] 69 + 6y = (1 * -4 + 3y * -4) + -1[4 + -3(y + 2) + -4y + 10] 69 + 6y = (-4 + -12y) + -1[4 + -3(y + 2) + -4y + 10] Reorder the terms: 69 + 6y = -4 + -12y + -1[4 + -3(2 + y) + -4y + 10] 69 + 6y = -4 + -12y + -1[4 + (2 * -3 + y * -3) + -4y + 10] 69 + 6y = -4 + -12y + -1[4 + (-6 + -3y) + -4y + 10] Reorder the terms: 69 + 6y = -4 + -12y + -1[4 + -6 + 10 + -3y + -4y] Combine like terms: 4 + -6 = -2 69 + 6y = -4 + -12y + -1[-2 + 10 + -3y + -4y] Combine like terms: -2 + 10 = 8 69 + 6y = -4 + -12y + -1[8 + -3y + -4y] Combine like terms: -3y + -4y = -7y 69 + 6y = -4 + -12y + -1[8 + -7y] 69 + 6y = -4 + -12y + [8 * -1 + -7y * -1] 69 + 6y = -4 + -12y + [-8 + 7y] Reorder the terms: 69 + 6y = -4 + -8 + -12y + 7y Combine like terms: -4 + -8 = -12 69 + 6y = -12 + -12y + 7y Combine like terms: -12y + 7y = -5y 69 + 6y = -12 + -5y Solving 69 + 6y = -12 + -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. 69 + 6y + 5y = -12 + -5y + 5y Combine like terms: 6y + 5y = 11y 69 + 11y = -12 + -5y + 5y Combine like terms: -5y + 5y = 0 69 + 11y = -12 + 0 69 + 11y = -12 Add '-69' to each side of the equation. 69 + -69 + 11y = -12 + -69 Combine like terms: 69 + -69 = 0 0 + 11y = -12 + -69 11y = -12 + -69 Combine like terms: -12 + -69 = -81 11y = -81 Divide each side by '11'. y = -7.363636364 Simplifying y = -7.363636364
| 7x^2-12x=19 | | 1.7=7.1-0.6x | | 3a+1-2a+3=1 | | 19+18x=17+16x | | N+15=35+-N | | 17x-45=12+5x | | 29-4x=58+5x | | 3x-108=2x | | 7x+6=76+3x | | 4x+5x-8=37 | | ((2x-9)*(2x-9))+(3x*3x)=((5x-21)*(5x-21)) | | 7+x=-x | | 33x-1=22-11x | | 3(2k+1) = 27 | | (2x-9)squared+(3x)squared=(5x-21)squared | | 4x+2x-7=47 | | n+10=35-n | | 4x^2-2xy+2y^2+y-2x-1=0 | | 5x-81=13-9x | | 9x+18=33-5x | | 123+4x=56-78x | | 123+4x=56+-78x | | X(.25)=40000 | | .25x=40000 | | X^2+y^2-12x+10y+24=0 | | x-21=x | | -7(2t+5)=-119 | | 8(b-2)+3b=9(b-1) | | X-(x*.25)=40000 | | r(n+6)=22 | | -3(r+4)=-46 | | 2n=15-3n |