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Simplifying -75 + -1[7 + -8y + -3(6y + -2)] = -3(4y + -7) + -3[3(y + -1) + -4 + 6y] Reorder the terms: -75 + -1[7 + -8y + -3(-2 + 6y)] = -3(4y + -7) + -3[3(y + -1) + -4 + 6y] -75 + -1[7 + -8y + (-2 * -3 + 6y * -3)] = -3(4y + -7) + -3[3(y + -1) + -4 + 6y] -75 + -1[7 + -8y + (6 + -18y)] = -3(4y + -7) + -3[3(y + -1) + -4 + 6y] Reorder the terms: -75 + -1[7 + 6 + -8y + -18y] = -3(4y + -7) + -3[3(y + -1) + -4 + 6y] Combine like terms: 7 + 6 = 13 -75 + -1[13 + -8y + -18y] = -3(4y + -7) + -3[3(y + -1) + -4 + 6y] Combine like terms: -8y + -18y = -26y -75 + -1[13 + -26y] = -3(4y + -7) + -3[3(y + -1) + -4 + 6y] -75 + [13 * -1 + -26y * -1] = -3(4y + -7) + -3[3(y + -1) + -4 + 6y] -75 + [-13 + 26y] = -3(4y + -7) + -3[3(y + -1) + -4 + 6y] Combine like terms: -75 + -13 = -88 -88 + 26y = -3(4y + -7) + -3[3(y + -1) + -4 + 6y] Reorder the terms: -88 + 26y = -3(-7 + 4y) + -3[3(y + -1) + -4 + 6y] -88 + 26y = (-7 * -3 + 4y * -3) + -3[3(y + -1) + -4 + 6y] -88 + 26y = (21 + -12y) + -3[3(y + -1) + -4 + 6y] Reorder the terms: -88 + 26y = 21 + -12y + -3[3(-1 + y) + -4 + 6y] -88 + 26y = 21 + -12y + -3[(-1 * 3 + y * 3) + -4 + 6y] -88 + 26y = 21 + -12y + -3[(-3 + 3y) + -4 + 6y] Reorder the terms: -88 + 26y = 21 + -12y + -3[-3 + -4 + 3y + 6y] Combine like terms: -3 + -4 = -7 -88 + 26y = 21 + -12y + -3[-7 + 3y + 6y] Combine like terms: 3y + 6y = 9y -88 + 26y = 21 + -12y + -3[-7 + 9y] -88 + 26y = 21 + -12y + [-7 * -3 + 9y * -3] -88 + 26y = 21 + -12y + [21 + -27y] Reorder the terms: -88 + 26y = 21 + 21 + -12y + -27y Combine like terms: 21 + 21 = 42 -88 + 26y = 42 + -12y + -27y Combine like terms: -12y + -27y = -39y -88 + 26y = 42 + -39y Solving -88 + 26y = 42 + -39y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '39y' to each side of the equation. -88 + 26y + 39y = 42 + -39y + 39y Combine like terms: 26y + 39y = 65y -88 + 65y = 42 + -39y + 39y Combine like terms: -39y + 39y = 0 -88 + 65y = 42 + 0 -88 + 65y = 42 Add '88' to each side of the equation. -88 + 88 + 65y = 42 + 88 Combine like terms: -88 + 88 = 0 0 + 65y = 42 + 88 65y = 42 + 88 Combine like terms: 42 + 88 = 130 65y = 130 Divide each side by '65'. y = 2 Simplifying y = 2
| 7x-16=49 | | 10z^2+40=0 | | 2x+(x+10)+59=360 | | 13(x+1)-4x=3(3v+3)-10 | | 3=-(-y-12) | | x-5y+-10+3y-x= | | -6(1+2n)=-102 | | 6z+17z= | | 5-9+6-2-18= | | 94=-8x-2(x-7) | | 4(q+2)-6= | | 2+x^3=18 | | 4x+5=-(-x-1) | | 11-x=40 | | -128=-4(8k-8)-8k | | 2x+4x=360 | | 0.30(x)+0.35(15)=0.34(x+16) | | 76x+11=3x-5 | | 7-x+5-4x=-2x-12 | | -12+-4x+x^2= | | 225=75+50 | | 2x(x-4)=x+5 | | -138=6(-4v-3)-6v | | X^2+10x-7=8 | | -306=6+8(6k+3) | | 5y+5=11 | | -9(n-5)=144 | | 6x-2x+7-4x=7 | | 8b+6b+3c-3= | | -138=6(-4v-3)-6 | | 9w^2-100= | | -8(a-7)+4a=88 |