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