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Simplifying -5(3y + 2) + -10 = -6(y + 8) + 3 Reorder the terms: -5(2 + 3y) + -10 = -6(y + 8) + 3 (2 * -5 + 3y * -5) + -10 = -6(y + 8) + 3 (-10 + -15y) + -10 = -6(y + 8) + 3 Reorder the terms: -10 + -10 + -15y = -6(y + 8) + 3 Combine like terms: -10 + -10 = -20 -20 + -15y = -6(y + 8) + 3 Reorder the terms: -20 + -15y = -6(8 + y) + 3 -20 + -15y = (8 * -6 + y * -6) + 3 -20 + -15y = (-48 + -6y) + 3 Reorder the terms: -20 + -15y = -48 + 3 + -6y Combine like terms: -48 + 3 = -45 -20 + -15y = -45 + -6y Solving -20 + -15y = -45 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -20 + -15y + 6y = -45 + -6y + 6y Combine like terms: -15y + 6y = -9y -20 + -9y = -45 + -6y + 6y Combine like terms: -6y + 6y = 0 -20 + -9y = -45 + 0 -20 + -9y = -45 Add '20' to each side of the equation. -20 + 20 + -9y = -45 + 20 Combine like terms: -20 + 20 = 0 0 + -9y = -45 + 20 -9y = -45 + 20 Combine like terms: -45 + 20 = -25 -9y = -25 Divide each side by '-9'. y = 2.777777778 Simplifying y = 2.777777778
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