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Simplifying 8y + -5(y + 2) = 2y + 6 Reorder the terms: 8y + -5(2 + y) = 2y + 6 8y + (2 * -5 + y * -5) = 2y + 6 8y + (-10 + -5y) = 2y + 6 Reorder the terms: -10 + 8y + -5y = 2y + 6 Combine like terms: 8y + -5y = 3y -10 + 3y = 2y + 6 Reorder the terms: -10 + 3y = 6 + 2y Solving -10 + 3y = 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. -10 + 3y + -2y = 6 + 2y + -2y Combine like terms: 3y + -2y = 1y -10 + 1y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 -10 + 1y = 6 + 0 -10 + 1y = 6 Add '10' to each side of the equation. -10 + 10 + 1y = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 1y = 6 + 10 1y = 6 + 10 Combine like terms: 6 + 10 = 16 1y = 16 Divide each side by '1'. y = 16 Simplifying y = 16
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