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Simplifying -5 + -1[2 + 5y + -3(y + 2)] = -9(2y + -5) + -1[2(y + -1) + -3y + 3] Reorder the terms: -5 + -1[2 + 5y + -3(2 + y)] = -9(2y + -5) + -1[2(y + -1) + -3y + 3] -5 + -1[2 + 5y + (2 * -3 + y * -3)] = -9(2y + -5) + -1[2(y + -1) + -3y + 3] -5 + -1[2 + 5y + (-6 + -3y)] = -9(2y + -5) + -1[2(y + -1) + -3y + 3] Reorder the terms: -5 + -1[2 + -6 + 5y + -3y] = -9(2y + -5) + -1[2(y + -1) + -3y + 3] Combine like terms: 2 + -6 = -4 -5 + -1[-4 + 5y + -3y] = -9(2y + -5) + -1[2(y + -1) + -3y + 3] Combine like terms: 5y + -3y = 2y -5 + -1[-4 + 2y] = -9(2y + -5) + -1[2(y + -1) + -3y + 3] -5 + [-4 * -1 + 2y * -1] = -9(2y + -5) + -1[2(y + -1) + -3y + 3] -5 + [4 + -2y] = -9(2y + -5) + -1[2(y + -1) + -3y + 3] Combine like terms: -5 + 4 = -1 -1 + -2y = -9(2y + -5) + -1[2(y + -1) + -3y + 3] Reorder the terms: -1 + -2y = -9(-5 + 2y) + -1[2(y + -1) + -3y + 3] -1 + -2y = (-5 * -9 + 2y * -9) + -1[2(y + -1) + -3y + 3] -1 + -2y = (45 + -18y) + -1[2(y + -1) + -3y + 3] Reorder the terms: -1 + -2y = 45 + -18y + -1[2(-1 + y) + -3y + 3] -1 + -2y = 45 + -18y + -1[(-1 * 2 + y * 2) + -3y + 3] -1 + -2y = 45 + -18y + -1[(-2 + 2y) + -3y + 3] Reorder the terms: -1 + -2y = 45 + -18y + -1[-2 + 3 + 2y + -3y] Combine like terms: -2 + 3 = 1 -1 + -2y = 45 + -18y + -1[1 + 2y + -3y] Combine like terms: 2y + -3y = -1y -1 + -2y = 45 + -18y + -1[1 + -1y] -1 + -2y = 45 + -18y + [1 * -1 + -1y * -1] -1 + -2y = 45 + -18y + [-1 + 1y] Reorder the terms: -1 + -2y = 45 + -1 + -18y + 1y Combine like terms: 45 + -1 = 44 -1 + -2y = 44 + -18y + 1y Combine like terms: -18y + 1y = -17y -1 + -2y = 44 + -17y Solving -1 + -2y = 44 + -17y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17y' to each side of the equation. -1 + -2y + 17y = 44 + -17y + 17y Combine like terms: -2y + 17y = 15y -1 + 15y = 44 + -17y + 17y Combine like terms: -17y + 17y = 0 -1 + 15y = 44 + 0 -1 + 15y = 44 Add '1' to each side of the equation. -1 + 1 + 15y = 44 + 1 Combine like terms: -1 + 1 = 0 0 + 15y = 44 + 1 15y = 44 + 1 Combine like terms: 44 + 1 = 45 15y = 45 Divide each side by '15'. y = 3 Simplifying y = 3
| -5w+20=-5(w-4) | | -5y-36=3(4y+5) | | 40-(-2)[8-3(-1)]= | | 5946=894+x | | 6(x-1)+67=x-3(x+1) | | 0=q+4 | | 5w+28=0 | | x=364/y | | 3x-1=4x+7-x | | 0=-40sin(2t)-60cos(2t) | | x*y=364 | | 0=-5v+30 | | 8-(-6)(4-7)= | | 18=.2127(x)+15.91 | | -8x-4x=16-4 | | 6x^2-x=7 | | 8/5v=6 | | 10n+9n-7=8 | | ln(K/0.005)=39400/8.314(1/373-1/488) | | 15=w-13 | | 16s^2+24s=9 | | a^2-ax+3ax+6a^2-ax+3a^2= | | 6k-3k=-6k+4k | | 2y+-1y+9=5.9 | | 6k-3k=6k+4k | | 936=28x/100 | | f(x)=ln(tan(2x)) | | 5x+2y=600 | | 30c^2-15cd+45c= | | 11n+23=312 | | (28/100)x=936 | | 28x/100=936 |