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Simplifying 2 + -6(y + -3) = 8 + -5(2y + 1) Reorder the terms: 2 + -6(-3 + y) = 8 + -5(2y + 1) 2 + (-3 * -6 + y * -6) = 8 + -5(2y + 1) 2 + (18 + -6y) = 8 + -5(2y + 1) Combine like terms: 2 + 18 = 20 20 + -6y = 8 + -5(2y + 1) Reorder the terms: 20 + -6y = 8 + -5(1 + 2y) 20 + -6y = 8 + (1 * -5 + 2y * -5) 20 + -6y = 8 + (-5 + -10y) Combine like terms: 8 + -5 = 3 20 + -6y = 3 + -10y Solving 20 + -6y = 3 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. 20 + -6y + 10y = 3 + -10y + 10y Combine like terms: -6y + 10y = 4y 20 + 4y = 3 + -10y + 10y Combine like terms: -10y + 10y = 0 20 + 4y = 3 + 0 20 + 4y = 3 Add '-20' to each side of the equation. 20 + -20 + 4y = 3 + -20 Combine like terms: 20 + -20 = 0 0 + 4y = 3 + -20 4y = 3 + -20 Combine like terms: 3 + -20 = -17 4y = -17 Divide each side by '4'. y = -4.25 Simplifying y = -4.25
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