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Simplifying 35 + -1[3 + 7y + -4(y + 3)] = -3(2y + -5) + -1[7(y + -1) + -5y + 8] Reorder the terms: 35 + -1[3 + 7y + -4(3 + y)] = -3(2y + -5) + -1[7(y + -1) + -5y + 8] 35 + -1[3 + 7y + (3 * -4 + y * -4)] = -3(2y + -5) + -1[7(y + -1) + -5y + 8] 35 + -1[3 + 7y + (-12 + -4y)] = -3(2y + -5) + -1[7(y + -1) + -5y + 8] Reorder the terms: 35 + -1[3 + -12 + 7y + -4y] = -3(2y + -5) + -1[7(y + -1) + -5y + 8] Combine like terms: 3 + -12 = -9 35 + -1[-9 + 7y + -4y] = -3(2y + -5) + -1[7(y + -1) + -5y + 8] Combine like terms: 7y + -4y = 3y 35 + -1[-9 + 3y] = -3(2y + -5) + -1[7(y + -1) + -5y + 8] 35 + [-9 * -1 + 3y * -1] = -3(2y + -5) + -1[7(y + -1) + -5y + 8] 35 + [9 + -3y] = -3(2y + -5) + -1[7(y + -1) + -5y + 8] Combine like terms: 35 + 9 = 44 44 + -3y = -3(2y + -5) + -1[7(y + -1) + -5y + 8] Reorder the terms: 44 + -3y = -3(-5 + 2y) + -1[7(y + -1) + -5y + 8] 44 + -3y = (-5 * -3 + 2y * -3) + -1[7(y + -1) + -5y + 8] 44 + -3y = (15 + -6y) + -1[7(y + -1) + -5y + 8] Reorder the terms: 44 + -3y = 15 + -6y + -1[7(-1 + y) + -5y + 8] 44 + -3y = 15 + -6y + -1[(-1 * 7 + y * 7) + -5y + 8] 44 + -3y = 15 + -6y + -1[(-7 + 7y) + -5y + 8] Reorder the terms: 44 + -3y = 15 + -6y + -1[-7 + 8 + 7y + -5y] Combine like terms: -7 + 8 = 1 44 + -3y = 15 + -6y + -1[1 + 7y + -5y] Combine like terms: 7y + -5y = 2y 44 + -3y = 15 + -6y + -1[1 + 2y] 44 + -3y = 15 + -6y + [1 * -1 + 2y * -1] 44 + -3y = 15 + -6y + [-1 + -2y] Reorder the terms: 44 + -3y = 15 + -1 + -6y + -2y Combine like terms: 15 + -1 = 14 44 + -3y = 14 + -6y + -2y Combine like terms: -6y + -2y = -8y 44 + -3y = 14 + -8y Solving 44 + -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. 44 + -3y + 8y = 14 + -8y + 8y Combine like terms: -3y + 8y = 5y 44 + 5y = 14 + -8y + 8y Combine like terms: -8y + 8y = 0 44 + 5y = 14 + 0 44 + 5y = 14 Add '-44' to each side of the equation. 44 + -44 + 5y = 14 + -44 Combine like terms: 44 + -44 = 0 0 + 5y = 14 + -44 5y = 14 + -44 Combine like terms: 14 + -44 = -30 5y = -30 Divide each side by '5'. y = -6 Simplifying y = -6
| 2(x+4)=-30 | | 12=17+3n-3 | | 15p+-10p+7=-3 | | -0.33y=5 | | 4+2x-5=4x-7+2(x-14) | | 9+2x-15=x+6 | | (9-2x^2)-50=0 | | 2=73.4 | | 4x+23=115 | | p=-9 | | (4v-24)(24v-4)=0 | | 2(3x-10)+5x+3-4(1+x)= | | 9x(-2)= | | 7(3.4b-1.2)= | | 3(1.2b+2.1)= | | (4x-1)=log(x+1)+log(2) | | 11p=44 | | 10p=0 | | 15x+25y=35 | | 2n=5+2 | | 3m^2+10m-4=-6 | | 4.9x^2-9.8x+15=0 | | 3(x-3)=2(x+2)+x | | -15+6x=1+2x | | 6a-10=29-7 | | 18n=162 | | (3)18=(2x)3x | | 5f=9f-18 | | 8n=162 | | x+(x+4)+(3x+6)=180 | | -4u+2(u-8)=-20 | | 20x=220 |