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Simplifying 8(y + 3) + y = 2(y + 2) + -4 Reorder the terms: 8(3 + y) + y = 2(y + 2) + -4 (3 * 8 + y * 8) + y = 2(y + 2) + -4 (24 + 8y) + y = 2(y + 2) + -4 Combine like terms: 8y + y = 9y 24 + 9y = 2(y + 2) + -4 Reorder the terms: 24 + 9y = 2(2 + y) + -4 24 + 9y = (2 * 2 + y * 2) + -4 24 + 9y = (4 + 2y) + -4 Reorder the terms: 24 + 9y = 4 + -4 + 2y Combine like terms: 4 + -4 = 0 24 + 9y = 0 + 2y 24 + 9y = 2y Solving 24 + 9y = 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. 24 + 9y + -2y = 2y + -2y Combine like terms: 9y + -2y = 7y 24 + 7y = 2y + -2y Combine like terms: 2y + -2y = 0 24 + 7y = 0 Add '-24' to each side of the equation. 24 + -24 + 7y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 7y = 0 + -24 7y = 0 + -24 Combine like terms: 0 + -24 = -24 7y = -24 Divide each side by '7'. y = -3.428571429 Simplifying y = -3.428571429
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