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Simplifying 5(4y + -3) + -1(3y + -2) = 7 + -1(5y + -2) Reorder the terms: 5(-3 + 4y) + -1(3y + -2) = 7 + -1(5y + -2) (-3 * 5 + 4y * 5) + -1(3y + -2) = 7 + -1(5y + -2) (-15 + 20y) + -1(3y + -2) = 7 + -1(5y + -2) Reorder the terms: -15 + 20y + -1(-2 + 3y) = 7 + -1(5y + -2) -15 + 20y + (-2 * -1 + 3y * -1) = 7 + -1(5y + -2) -15 + 20y + (2 + -3y) = 7 + -1(5y + -2) Reorder the terms: -15 + 2 + 20y + -3y = 7 + -1(5y + -2) Combine like terms: -15 + 2 = -13 -13 + 20y + -3y = 7 + -1(5y + -2) Combine like terms: 20y + -3y = 17y -13 + 17y = 7 + -1(5y + -2) Reorder the terms: -13 + 17y = 7 + -1(-2 + 5y) -13 + 17y = 7 + (-2 * -1 + 5y * -1) -13 + 17y = 7 + (2 + -5y) Combine like terms: 7 + 2 = 9 -13 + 17y = 9 + -5y Solving -13 + 17y = 9 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -13 + 17y + 5y = 9 + -5y + 5y Combine like terms: 17y + 5y = 22y -13 + 22y = 9 + -5y + 5y Combine like terms: -5y + 5y = 0 -13 + 22y = 9 + 0 -13 + 22y = 9 Add '13' to each side of the equation. -13 + 13 + 22y = 9 + 13 Combine like terms: -13 + 13 = 0 0 + 22y = 9 + 13 22y = 9 + 13 Combine like terms: 9 + 13 = 22 22y = 22 Divide each side by '22'. y = 1 Simplifying y = 1
| E=S | | s(t)=87-16t^2 | | 18x^2-24-6x=0 | | 23-t=t-5 | | 3x+10=2+9 | | 1050=2000-2.5(P) | | (6x+4)+(7x+4)= | | 4x+7x=15-4 | | (2a-b)=(a+c) | | 0.6x+0.8(40-x)=28.8 | | 10x^2+33x+20= | | 2(5)+-4=16 | | 6a=2a-8 | | 8/4w^2 | | -1/2x-4/5=-8/7 | | 7/12=x/36 | | 23-2/7x=-2/7x+23 | | -6x^2+18x+29=0 | | x-(-5x)=1+x | | -2n+3n=-12 | | 3x^2-1=5 | | 2=2x/3+8 | | 1.4/3=x/7.5 | | -2a+6a=12 | | 3s-7=17+7s | | 4/5z+z=8 | | x^2+2=14 | | 2a+4b=d | | -2n+5n=12 | | m^2+5m+50=0 | | ab=6+cd | | -4m+2n=6 |