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Simplifying 32 + -1[4 + 6y + -3(y + 2)] = -5(3y + -7) + -1[6(y + -1) + -13y + 27] Reorder the terms: 32 + -1[4 + 6y + -3(2 + y)] = -5(3y + -7) + -1[6(y + -1) + -13y + 27] 32 + -1[4 + 6y + (2 * -3 + y * -3)] = -5(3y + -7) + -1[6(y + -1) + -13y + 27] 32 + -1[4 + 6y + (-6 + -3y)] = -5(3y + -7) + -1[6(y + -1) + -13y + 27] Reorder the terms: 32 + -1[4 + -6 + 6y + -3y] = -5(3y + -7) + -1[6(y + -1) + -13y + 27] Combine like terms: 4 + -6 = -2 32 + -1[-2 + 6y + -3y] = -5(3y + -7) + -1[6(y + -1) + -13y + 27] Combine like terms: 6y + -3y = 3y 32 + -1[-2 + 3y] = -5(3y + -7) + -1[6(y + -1) + -13y + 27] 32 + [-2 * -1 + 3y * -1] = -5(3y + -7) + -1[6(y + -1) + -13y + 27] 32 + [2 + -3y] = -5(3y + -7) + -1[6(y + -1) + -13y + 27] Combine like terms: 32 + 2 = 34 34 + -3y = -5(3y + -7) + -1[6(y + -1) + -13y + 27] Reorder the terms: 34 + -3y = -5(-7 + 3y) + -1[6(y + -1) + -13y + 27] 34 + -3y = (-7 * -5 + 3y * -5) + -1[6(y + -1) + -13y + 27] 34 + -3y = (35 + -15y) + -1[6(y + -1) + -13y + 27] Reorder the terms: 34 + -3y = 35 + -15y + -1[6(-1 + y) + -13y + 27] 34 + -3y = 35 + -15y + -1[(-1 * 6 + y * 6) + -13y + 27] 34 + -3y = 35 + -15y + -1[(-6 + 6y) + -13y + 27] Reorder the terms: 34 + -3y = 35 + -15y + -1[-6 + 27 + 6y + -13y] Combine like terms: -6 + 27 = 21 34 + -3y = 35 + -15y + -1[21 + 6y + -13y] Combine like terms: 6y + -13y = -7y 34 + -3y = 35 + -15y + -1[21 + -7y] 34 + -3y = 35 + -15y + [21 * -1 + -7y * -1] 34 + -3y = 35 + -15y + [-21 + 7y] Reorder the terms: 34 + -3y = 35 + -21 + -15y + 7y Combine like terms: 35 + -21 = 14 34 + -3y = 14 + -15y + 7y Combine like terms: -15y + 7y = -8y 34 + -3y = 14 + -8y Solving 34 + -3y = 14 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 34 + -3y + 8y = 14 + -8y + 8y Combine like terms: -3y + 8y = 5y 34 + 5y = 14 + -8y + 8y Combine like terms: -8y + 8y = 0 34 + 5y = 14 + 0 34 + 5y = 14 Add '-34' to each side of the equation. 34 + -34 + 5y = 14 + -34 Combine like terms: 34 + -34 = 0 0 + 5y = 14 + -34 5y = 14 + -34 Combine like terms: 14 + -34 = -20 5y = -20 Divide each side by '5'. y = -4 Simplifying y = -4
| 12+5y=14 | | (8b^4-b^3)-(b^4+4b^3-4)=7 | | log(x)=3.3 | | 25k^2+40k+16=0 | | 8m-3=6 | | 2-2=10x+2x | | 4+x^4=-2 | | (2x5/8) | | 7+9(-5)= | | -7y=49x-78 | | -12+13x-52x+12= | | 7q+14-5q=-8 | | 13=4(x-2)-(x-6) | | (w^2-w-6)(5w-35)=0 | | 6y=-30x-16 | | 20=-5t^2+30 | | -6x+12=4x-38 | | 15x^3y+5x^2y^2+10xy^3=0 | | 2.5x+41.8=11.4-12.7x | | 2x+25=310 | | -0.8b+7.5b=-10.05 | | 16x^2-48x=8 | | 2x-50y=10 | | 1/2a-4a= | | 22-9k=-14 | | a+.6a= | | 2x-1.2=30 | | 1/2-4a= | | 2x-1y=3 | | 20-5y=20 | | (4y-9y)-(-5y+8y-8)= | | 15.2/1000=x/50 |