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Simplifying 20 + -1[4 + 8y + -3(y + 4)] = -4(4y + -7) + -1[5(y + -1) + -11y + 15] Reorder the terms: 20 + -1[4 + 8y + -3(4 + y)] = -4(4y + -7) + -1[5(y + -1) + -11y + 15] 20 + -1[4 + 8y + (4 * -3 + y * -3)] = -4(4y + -7) + -1[5(y + -1) + -11y + 15] 20 + -1[4 + 8y + (-12 + -3y)] = -4(4y + -7) + -1[5(y + -1) + -11y + 15] Reorder the terms: 20 + -1[4 + -12 + 8y + -3y] = -4(4y + -7) + -1[5(y + -1) + -11y + 15] Combine like terms: 4 + -12 = -8 20 + -1[-8 + 8y + -3y] = -4(4y + -7) + -1[5(y + -1) + -11y + 15] Combine like terms: 8y + -3y = 5y 20 + -1[-8 + 5y] = -4(4y + -7) + -1[5(y + -1) + -11y + 15] 20 + [-8 * -1 + 5y * -1] = -4(4y + -7) + -1[5(y + -1) + -11y + 15] 20 + [8 + -5y] = -4(4y + -7) + -1[5(y + -1) + -11y + 15] Combine like terms: 20 + 8 = 28 28 + -5y = -4(4y + -7) + -1[5(y + -1) + -11y + 15] Reorder the terms: 28 + -5y = -4(-7 + 4y) + -1[5(y + -1) + -11y + 15] 28 + -5y = (-7 * -4 + 4y * -4) + -1[5(y + -1) + -11y + 15] 28 + -5y = (28 + -16y) + -1[5(y + -1) + -11y + 15] Reorder the terms: 28 + -5y = 28 + -16y + -1[5(-1 + y) + -11y + 15] 28 + -5y = 28 + -16y + -1[(-1 * 5 + y * 5) + -11y + 15] 28 + -5y = 28 + -16y + -1[(-5 + 5y) + -11y + 15] Reorder the terms: 28 + -5y = 28 + -16y + -1[-5 + 15 + 5y + -11y] Combine like terms: -5 + 15 = 10 28 + -5y = 28 + -16y + -1[10 + 5y + -11y] Combine like terms: 5y + -11y = -6y 28 + -5y = 28 + -16y + -1[10 + -6y] 28 + -5y = 28 + -16y + [10 * -1 + -6y * -1] 28 + -5y = 28 + -16y + [-10 + 6y] Reorder the terms: 28 + -5y = 28 + -10 + -16y + 6y Combine like terms: 28 + -10 = 18 28 + -5y = 18 + -16y + 6y Combine like terms: -16y + 6y = -10y 28 + -5y = 18 + -10y Solving 28 + -5y = 18 + -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. 28 + -5y + 10y = 18 + -10y + 10y Combine like terms: -5y + 10y = 5y 28 + 5y = 18 + -10y + 10y Combine like terms: -10y + 10y = 0 28 + 5y = 18 + 0 28 + 5y = 18 Add '-28' to each side of the equation. 28 + -28 + 5y = 18 + -28 Combine like terms: 28 + -28 = 0 0 + 5y = 18 + -28 5y = 18 + -28 Combine like terms: 18 + -28 = -10 5y = -10 Divide each side by '5'. y = -2 Simplifying y = -2
| 4q-16r+8s= | | 8(2+4)-15b=b | | r^2+2r-19=0 | | 8c-2+3c=-2c-4-3c | | 0.8(x+100)=0.86x-346 | | -3v-8=-28+9v | | 32+2k+k=180 | | 2.6n=6.24 | | 7.7=r-6.7 | | 10x-8(x+9)=2x-3 | | y=-5(2)-40 | | -18x-x=10-2x | | -3(6y-9)-y=-2(y-2) | | 4.25*18= | | 20a-64+4a+15=180 | | 5u+9=-36 | | 800m+50y=1500m+15y | | 39-6= | | 5(3x-8)-6=5(x-3)+29 | | 8z^2+20x=0 | | 20a-64=4a+15 | | y=-15(2)-20 | | -21.7=x-2.79 | | -2z^2-50z=82 | | -3.5-2x=3.7 | | 2w-30=w+81 | | x+(-5)=16 | | 9y+1x=1 | | x-55=-5x+71 | | 5(x+5)=7x+4-2x+21 | | 1+(-2p)+5=4p+6 | | 9y-4=3y+4-2y |