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Simplifying -2(8y + -9) + 2y = 2(y + 3) Reorder the terms: -2(-9 + 8y) + 2y = 2(y + 3) (-9 * -2 + 8y * -2) + 2y = 2(y + 3) (18 + -16y) + 2y = 2(y + 3) Combine like terms: -16y + 2y = -14y 18 + -14y = 2(y + 3) Reorder the terms: 18 + -14y = 2(3 + y) 18 + -14y = (3 * 2 + y * 2) 18 + -14y = (6 + 2y) Solving 18 + -14y = 6 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 18 + -14y + -2y = 6 + 2y + -2y Combine like terms: -14y + -2y = -16y 18 + -16y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 18 + -16y = 6 + 0 18 + -16y = 6 Add '-18' to each side of the equation. 18 + -18 + -16y = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -16y = 6 + -18 -16y = 6 + -18 Combine like terms: 6 + -18 = -12 -16y = -12 Divide each side by '-16'. y = 0.75 Simplifying y = 0.75
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