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Simplifying 8(y + 2) = 6 + -2(3y + 2) Reorder the terms: 8(2 + y) = 6 + -2(3y + 2) (2 * 8 + y * 8) = 6 + -2(3y + 2) (16 + 8y) = 6 + -2(3y + 2) Reorder the terms: 16 + 8y = 6 + -2(2 + 3y) 16 + 8y = 6 + (2 * -2 + 3y * -2) 16 + 8y = 6 + (-4 + -6y) Combine like terms: 6 + -4 = 2 16 + 8y = 2 + -6y Solving 16 + 8y = 2 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 16 + 8y + 6y = 2 + -6y + 6y Combine like terms: 8y + 6y = 14y 16 + 14y = 2 + -6y + 6y Combine like terms: -6y + 6y = 0 16 + 14y = 2 + 0 16 + 14y = 2 Add '-16' to each side of the equation. 16 + -16 + 14y = 2 + -16 Combine like terms: 16 + -16 = 0 0 + 14y = 2 + -16 14y = 2 + -16 Combine like terms: 2 + -16 = -14 14y = -14 Divide each side by '14'. y = -1 Simplifying y = -1
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