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Simplifying 29 + -1[3 + 6y + -2(y + 4)] = -4(3y + -7) + -1[7(y + -1) + -9y + 19] Reorder the terms: 29 + -1[3 + 6y + -2(4 + y)] = -4(3y + -7) + -1[7(y + -1) + -9y + 19] 29 + -1[3 + 6y + (4 * -2 + y * -2)] = -4(3y + -7) + -1[7(y + -1) + -9y + 19] 29 + -1[3 + 6y + (-8 + -2y)] = -4(3y + -7) + -1[7(y + -1) + -9y + 19] Reorder the terms: 29 + -1[3 + -8 + 6y + -2y] = -4(3y + -7) + -1[7(y + -1) + -9y + 19] Combine like terms: 3 + -8 = -5 29 + -1[-5 + 6y + -2y] = -4(3y + -7) + -1[7(y + -1) + -9y + 19] Combine like terms: 6y + -2y = 4y 29 + -1[-5 + 4y] = -4(3y + -7) + -1[7(y + -1) + -9y + 19] 29 + [-5 * -1 + 4y * -1] = -4(3y + -7) + -1[7(y + -1) + -9y + 19] 29 + [5 + -4y] = -4(3y + -7) + -1[7(y + -1) + -9y + 19] Combine like terms: 29 + 5 = 34 34 + -4y = -4(3y + -7) + -1[7(y + -1) + -9y + 19] Reorder the terms: 34 + -4y = -4(-7 + 3y) + -1[7(y + -1) + -9y + 19] 34 + -4y = (-7 * -4 + 3y * -4) + -1[7(y + -1) + -9y + 19] 34 + -4y = (28 + -12y) + -1[7(y + -1) + -9y + 19] Reorder the terms: 34 + -4y = 28 + -12y + -1[7(-1 + y) + -9y + 19] 34 + -4y = 28 + -12y + -1[(-1 * 7 + y * 7) + -9y + 19] 34 + -4y = 28 + -12y + -1[(-7 + 7y) + -9y + 19] Reorder the terms: 34 + -4y = 28 + -12y + -1[-7 + 19 + 7y + -9y] Combine like terms: -7 + 19 = 12 34 + -4y = 28 + -12y + -1[12 + 7y + -9y] Combine like terms: 7y + -9y = -2y 34 + -4y = 28 + -12y + -1[12 + -2y] 34 + -4y = 28 + -12y + [12 * -1 + -2y * -1] 34 + -4y = 28 + -12y + [-12 + 2y] Reorder the terms: 34 + -4y = 28 + -12 + -12y + 2y Combine like terms: 28 + -12 = 16 34 + -4y = 16 + -12y + 2y Combine like terms: -12y + 2y = -10y 34 + -4y = 16 + -10y Solving 34 + -4y = 16 + -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. 34 + -4y + 10y = 16 + -10y + 10y Combine like terms: -4y + 10y = 6y 34 + 6y = 16 + -10y + 10y Combine like terms: -10y + 10y = 0 34 + 6y = 16 + 0 34 + 6y = 16 Add '-34' to each side of the equation. 34 + -34 + 6y = 16 + -34 Combine like terms: 34 + -34 = 0 0 + 6y = 16 + -34 6y = 16 + -34 Combine like terms: 16 + -34 = -18 6y = -18 Divide each side by '6'. y = -3 Simplifying y = -3
| -21-10x=9x+17 | | ax+b=0 | | 115-4x=3x+17 | | -28-2x=7-9x | | 3=4(x-3)-(x-9) | | 12n+5=4n+33 | | 12n+5=4n+3 | | a+a+a+a+a= | | 11m+5n-2m=9n | | 6x+16=16x-94 | | 19p+14q+p-3m+9n= | | 2x+6x=57+x | | 5m+5n-3m+9n= | | 5d+8e+10d+7e= | | 5b+3-b-6-8b=3b-4-b+19 | | 5x-(3x-5)=17 | | 8=8+3z | | 3y-6=10y+15 | | 3b+10b= | | 6a-a-a-a-a= | | 3t-6t= | | x-2+3=0 | | d+e+e+e+e+d+e+d= | | -3(x-16)=12-x | | b+b+b+c+c+c= | | w^4-13w^2+36=0 | | 5-4X(0.5)= | | 7x-81=3x-13 | | 148-4x=23x+19 | | 13-9x=117-37x | | -13-8x=8x+19 | | 5(1-x)=0 |