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Simplifying -2(y + 2) = 2y + -8 + 2(6y + 9) Reorder the terms: -2(2 + y) = 2y + -8 + 2(6y + 9) (2 * -2 + y * -2) = 2y + -8 + 2(6y + 9) (-4 + -2y) = 2y + -8 + 2(6y + 9) Reorder the terms: -4 + -2y = 2y + -8 + 2(9 + 6y) -4 + -2y = 2y + -8 + (9 * 2 + 6y * 2) -4 + -2y = 2y + -8 + (18 + 12y) Reorder the terms: -4 + -2y = -8 + 18 + 2y + 12y Combine like terms: -8 + 18 = 10 -4 + -2y = 10 + 2y + 12y Combine like terms: 2y + 12y = 14y -4 + -2y = 10 + 14y Solving -4 + -2y = 10 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. -4 + -2y + -14y = 10 + 14y + -14y Combine like terms: -2y + -14y = -16y -4 + -16y = 10 + 14y + -14y Combine like terms: 14y + -14y = 0 -4 + -16y = 10 + 0 -4 + -16y = 10 Add '4' to each side of the equation. -4 + 4 + -16y = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -16y = 10 + 4 -16y = 10 + 4 Combine like terms: 10 + 4 = 14 -16y = 14 Divide each side by '-16'. y = -0.875 Simplifying y = -0.875
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