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Simplifying 8y + 30 = 2(y + 3) Reorder the terms: 30 + 8y = 2(y + 3) Reorder the terms: 30 + 8y = 2(3 + y) 30 + 8y = (3 * 2 + y * 2) 30 + 8y = (6 + 2y) Solving 30 + 8y = 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. 30 + 8y + -2y = 6 + 2y + -2y Combine like terms: 8y + -2y = 6y 30 + 6y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 30 + 6y = 6 + 0 30 + 6y = 6 Add '-30' to each side of the equation. 30 + -30 + 6y = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 6y = 6 + -30 6y = 6 + -30 Combine like terms: 6 + -30 = -24 6y = -24 Divide each side by '6'. y = -4 Simplifying y = -4
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