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Simplifying -3(y + 5) = 6y + -9 + 2(3y + 6) Reorder the terms: -3(5 + y) = 6y + -9 + 2(3y + 6) (5 * -3 + y * -3) = 6y + -9 + 2(3y + 6) (-15 + -3y) = 6y + -9 + 2(3y + 6) Reorder the terms: -15 + -3y = 6y + -9 + 2(6 + 3y) -15 + -3y = 6y + -9 + (6 * 2 + 3y * 2) -15 + -3y = 6y + -9 + (12 + 6y) Reorder the terms: -15 + -3y = -9 + 12 + 6y + 6y Combine like terms: -9 + 12 = 3 -15 + -3y = 3 + 6y + 6y Combine like terms: 6y + 6y = 12y -15 + -3y = 3 + 12y Solving -15 + -3y = 3 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -15 + -3y + -12y = 3 + 12y + -12y Combine like terms: -3y + -12y = -15y -15 + -15y = 3 + 12y + -12y Combine like terms: 12y + -12y = 0 -15 + -15y = 3 + 0 -15 + -15y = 3 Add '15' to each side of the equation. -15 + 15 + -15y = 3 + 15 Combine like terms: -15 + 15 = 0 0 + -15y = 3 + 15 -15y = 3 + 15 Combine like terms: 3 + 15 = 18 -15y = 18 Divide each side by '-15'. y = -1.2 Simplifying y = -1.2
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