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Simplifying 4(y + -3) + -6(y + 1) = 4[2(y + 4) + 3y] Reorder the terms: 4(-3 + y) + -6(y + 1) = 4[2(y + 4) + 3y] (-3 * 4 + y * 4) + -6(y + 1) = 4[2(y + 4) + 3y] (-12 + 4y) + -6(y + 1) = 4[2(y + 4) + 3y] Reorder the terms: -12 + 4y + -6(1 + y) = 4[2(y + 4) + 3y] -12 + 4y + (1 * -6 + y * -6) = 4[2(y + 4) + 3y] -12 + 4y + (-6 + -6y) = 4[2(y + 4) + 3y] Reorder the terms: -12 + -6 + 4y + -6y = 4[2(y + 4) + 3y] Combine like terms: -12 + -6 = -18 -18 + 4y + -6y = 4[2(y + 4) + 3y] Combine like terms: 4y + -6y = -2y -18 + -2y = 4[2(y + 4) + 3y] Reorder the terms: -18 + -2y = 4[2(4 + y) + 3y] -18 + -2y = 4[(4 * 2 + y * 2) + 3y] -18 + -2y = 4[(8 + 2y) + 3y] Combine like terms: 2y + 3y = 5y -18 + -2y = 4[8 + 5y] -18 + -2y = [8 * 4 + 5y * 4] -18 + -2y = [32 + 20y] Solving -18 + -2y = 32 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -18 + -2y + -20y = 32 + 20y + -20y Combine like terms: -2y + -20y = -22y -18 + -22y = 32 + 20y + -20y Combine like terms: 20y + -20y = 0 -18 + -22y = 32 + 0 -18 + -22y = 32 Add '18' to each side of the equation. -18 + 18 + -22y = 32 + 18 Combine like terms: -18 + 18 = 0 0 + -22y = 32 + 18 -22y = 32 + 18 Combine like terms: 32 + 18 = 50 -22y = 50 Divide each side by '-22'. y = -2.272727273 Simplifying y = -2.272727273
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