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Simplifying -6(y + 1) = 2y + -9 + 2(5y + 3) Reorder the terms: -6(1 + y) = 2y + -9 + 2(5y + 3) (1 * -6 + y * -6) = 2y + -9 + 2(5y + 3) (-6 + -6y) = 2y + -9 + 2(5y + 3) Reorder the terms: -6 + -6y = 2y + -9 + 2(3 + 5y) -6 + -6y = 2y + -9 + (3 * 2 + 5y * 2) -6 + -6y = 2y + -9 + (6 + 10y) Reorder the terms: -6 + -6y = -9 + 6 + 2y + 10y Combine like terms: -9 + 6 = -3 -6 + -6y = -3 + 2y + 10y Combine like terms: 2y + 10y = 12y -6 + -6y = -3 + 12y Solving -6 + -6y = -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. -6 + -6y + -12y = -3 + 12y + -12y Combine like terms: -6y + -12y = -18y -6 + -18y = -3 + 12y + -12y Combine like terms: 12y + -12y = 0 -6 + -18y = -3 + 0 -6 + -18y = -3 Add '6' to each side of the equation. -6 + 6 + -18y = -3 + 6 Combine like terms: -6 + 6 = 0 0 + -18y = -3 + 6 -18y = -3 + 6 Combine like terms: -3 + 6 = 3 -18y = 3 Divide each side by '-18'. y = -0.1666666667 Simplifying y = -0.1666666667
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