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Simplifying 5(y + 6) + y = 2(y + 2) + 2 Reorder the terms: 5(6 + y) + y = 2(y + 2) + 2 (6 * 5 + y * 5) + y = 2(y + 2) + 2 (30 + 5y) + y = 2(y + 2) + 2 Combine like terms: 5y + y = 6y 30 + 6y = 2(y + 2) + 2 Reorder the terms: 30 + 6y = 2(2 + y) + 2 30 + 6y = (2 * 2 + y * 2) + 2 30 + 6y = (4 + 2y) + 2 Reorder the terms: 30 + 6y = 4 + 2 + 2y Combine like terms: 4 + 2 = 6 30 + 6y = 6 + 2y Solving 30 + 6y = 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 + 6y + -2y = 6 + 2y + -2y Combine like terms: 6y + -2y = 4y 30 + 4y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 30 + 4y = 6 + 0 30 + 4y = 6 Add '-30' to each side of the equation. 30 + -30 + 4y = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 4y = 6 + -30 4y = 6 + -30 Combine like terms: 6 + -30 = -24 4y = -24 Divide each side by '4'. y = -6 Simplifying y = -6
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