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Simplifying 7 + -2(y + -8) = 3 + -4y Reorder the terms: 7 + -2(-8 + y) = 3 + -4y 7 + (-8 * -2 + y * -2) = 3 + -4y 7 + (16 + -2y) = 3 + -4y Combine like terms: 7 + 16 = 23 23 + -2y = 3 + -4y Solving 23 + -2y = 3 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 23 + -2y + 4y = 3 + -4y + 4y Combine like terms: -2y + 4y = 2y 23 + 2y = 3 + -4y + 4y Combine like terms: -4y + 4y = 0 23 + 2y = 3 + 0 23 + 2y = 3 Add '-23' to each side of the equation. 23 + -23 + 2y = 3 + -23 Combine like terms: 23 + -23 = 0 0 + 2y = 3 + -23 2y = 3 + -23 Combine like terms: 3 + -23 = -20 2y = -20 Divide each side by '2'. y = -10 Simplifying y = -10
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