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Simplifying 52 + -1(4 + 7y + -3(y + 3)) = -4(4y + -4) + -1(9(y + -1) + -14y + 10) Reorder the terms: 52 + -1(4 + 7y + -3(3 + y)) = -4(4y + -4) + -1(9(y + -1) + -14y + 10) 52 + -1(4 + 7y + (3 * -3 + y * -3)) = -4(4y + -4) + -1(9(y + -1) + -14y + 10) 52 + -1(4 + 7y + (-9 + -3y)) = -4(4y + -4) + -1(9(y + -1) + -14y + 10) Reorder the terms: 52 + -1(4 + -9 + 7y + -3y) = -4(4y + -4) + -1(9(y + -1) + -14y + 10) Combine like terms: 4 + -9 = -5 52 + -1(-5 + 7y + -3y) = -4(4y + -4) + -1(9(y + -1) + -14y + 10) Combine like terms: 7y + -3y = 4y 52 + -1(-5 + 4y) = -4(4y + -4) + -1(9(y + -1) + -14y + 10) 52 + (-5 * -1 + 4y * -1) = -4(4y + -4) + -1(9(y + -1) + -14y + 10) 52 + (5 + -4y) = -4(4y + -4) + -1(9(y + -1) + -14y + 10) Combine like terms: 52 + 5 = 57 57 + -4y = -4(4y + -4) + -1(9(y + -1) + -14y + 10) Reorder the terms: 57 + -4y = -4(-4 + 4y) + -1(9(y + -1) + -14y + 10) 57 + -4y = (-4 * -4 + 4y * -4) + -1(9(y + -1) + -14y + 10) 57 + -4y = (16 + -16y) + -1(9(y + -1) + -14y + 10) Reorder the terms: 57 + -4y = 16 + -16y + -1(9(-1 + y) + -14y + 10) 57 + -4y = 16 + -16y + -1((-1 * 9 + y * 9) + -14y + 10) 57 + -4y = 16 + -16y + -1((-9 + 9y) + -14y + 10) Reorder the terms: 57 + -4y = 16 + -16y + -1(-9 + 10 + 9y + -14y) Combine like terms: -9 + 10 = 1 57 + -4y = 16 + -16y + -1(1 + 9y + -14y) Combine like terms: 9y + -14y = -5y 57 + -4y = 16 + -16y + -1(1 + -5y) 57 + -4y = 16 + -16y + (1 * -1 + -5y * -1) 57 + -4y = 16 + -16y + (-1 + 5y) Reorder the terms: 57 + -4y = 16 + -1 + -16y + 5y Combine like terms: 16 + -1 = 15 57 + -4y = 15 + -16y + 5y Combine like terms: -16y + 5y = -11y 57 + -4y = 15 + -11y Solving 57 + -4y = 15 + -11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '11y' to each side of the equation. 57 + -4y + 11y = 15 + -11y + 11y Combine like terms: -4y + 11y = 7y 57 + 7y = 15 + -11y + 11y Combine like terms: -11y + 11y = 0 57 + 7y = 15 + 0 57 + 7y = 15 Add '-57' to each side of the equation. 57 + -57 + 7y = 15 + -57 Combine like terms: 57 + -57 = 0 0 + 7y = 15 + -57 7y = 15 + -57 Combine like terms: 15 + -57 = -42 7y = -42 Divide each side by '7'. y = -6 Simplifying y = -6
| [3m-6]=42 | | -5(v+4)+3v+5=8v+9 | | 6y-8=-6+3y+3 | | 9x-1/6=3x+24/11 | | x^2+15x+10= | | 71=(50-30) | | 4x+2x-3[x-1]= | | 18d=36 | | 18a^2-15a-7=0 | | t^2+15t+10= | | 7x+6=4x+48 | | 5x+15=42+(3x-15) | | 24-4[8+9(3g-3)]+8(9g+3)= | | 9(3y)=(9.3)y | | (p+9)-2p= | | x^2-1=143 | | y=k(8) | | 50b^2+150b-2a^2b^2-6a^2b=0 | | 49x^2-28x-40=0 | | (0.9)3= | | x^2-xy-42y^2= | | 50b^2+150b-2a^2b^2-6a^2b^2=0 | | 1-2(16-x)=-12(x+7) | | 6x=3(6x+12) | | .05(4t-2)=.20(t+3)-.70 | | 28=10m-3 | | 2k^2-6k-8=0 | | 7x^2-4x=6x^2+4x-1 | | 2(5-t)t+6t=t+22 | | -8(8-x)=4-5(x+10) | | 2(x-4)-5=5x-3(4+x) | | 7d=36 |