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Simplifying -2(y + 1) = 9y + -2 + 2(2y + 6) Reorder the terms: -2(1 + y) = 9y + -2 + 2(2y + 6) (1 * -2 + y * -2) = 9y + -2 + 2(2y + 6) (-2 + -2y) = 9y + -2 + 2(2y + 6) Reorder the terms: -2 + -2y = 9y + -2 + 2(6 + 2y) -2 + -2y = 9y + -2 + (6 * 2 + 2y * 2) -2 + -2y = 9y + -2 + (12 + 4y) Reorder the terms: -2 + -2y = -2 + 12 + 9y + 4y Combine like terms: -2 + 12 = 10 -2 + -2y = 10 + 9y + 4y Combine like terms: 9y + 4y = 13y -2 + -2y = 10 + 13y Solving -2 + -2y = 10 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. -2 + -2y + -13y = 10 + 13y + -13y Combine like terms: -2y + -13y = -15y -2 + -15y = 10 + 13y + -13y Combine like terms: 13y + -13y = 0 -2 + -15y = 10 + 0 -2 + -15y = 10 Add '2' to each side of the equation. -2 + 2 + -15y = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -15y = 10 + 2 -15y = 10 + 2 Combine like terms: 10 + 2 = 12 -15y = 12 Divide each side by '-15'. y = -0.8 Simplifying y = -0.8
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