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Simplifying -2(2y + -8) + -1y = -3(y + -2) Reorder the terms: -2(-8 + 2y) + -1y = -3(y + -2) (-8 * -2 + 2y * -2) + -1y = -3(y + -2) (16 + -4y) + -1y = -3(y + -2) Combine like terms: -4y + -1y = -5y 16 + -5y = -3(y + -2) Reorder the terms: 16 + -5y = -3(-2 + y) 16 + -5y = (-2 * -3 + y * -3) 16 + -5y = (6 + -3y) Solving 16 + -5y = 6 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 16 + -5y + 3y = 6 + -3y + 3y Combine like terms: -5y + 3y = -2y 16 + -2y = 6 + -3y + 3y Combine like terms: -3y + 3y = 0 16 + -2y = 6 + 0 16 + -2y = 6 Add '-16' to each side of the equation. 16 + -16 + -2y = 6 + -16 Combine like terms: 16 + -16 = 0 0 + -2y = 6 + -16 -2y = 6 + -16 Combine like terms: 6 + -16 = -10 -2y = -10 Divide each side by '-2'. y = 5 Simplifying y = 5
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