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Simplifying -2(3y + -8) + 4y = 2(y + 3) Reorder the terms: -2(-8 + 3y) + 4y = 2(y + 3) (-8 * -2 + 3y * -2) + 4y = 2(y + 3) (16 + -6y) + 4y = 2(y + 3) Combine like terms: -6y + 4y = -2y 16 + -2y = 2(y + 3) Reorder the terms: 16 + -2y = 2(3 + y) 16 + -2y = (3 * 2 + y * 2) 16 + -2y = (6 + 2y) Solving 16 + -2y = 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. 16 + -2y + -2y = 6 + 2y + -2y Combine like terms: -2y + -2y = -4y 16 + -4y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 16 + -4y = 6 + 0 16 + -4y = 6 Add '-16' to each side of the equation. 16 + -16 + -4y = 6 + -16 Combine like terms: 16 + -16 = 0 0 + -4y = 6 + -16 -4y = 6 + -16 Combine like terms: 6 + -16 = -10 -4y = -10 Divide each side by '-4'. y = 2.5 Simplifying y = 2.5
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