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Simplifying 6(y + 7) = -2y + -30 Reorder the terms: 6(7 + y) = -2y + -30 (7 * 6 + y * 6) = -2y + -30 (42 + 6y) = -2y + -30 Reorder the terms: 42 + 6y = -30 + -2y Solving 42 + 6y = -30 + -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. 42 + 6y + 2y = -30 + -2y + 2y Combine like terms: 6y + 2y = 8y 42 + 8y = -30 + -2y + 2y Combine like terms: -2y + 2y = 0 42 + 8y = -30 + 0 42 + 8y = -30 Add '-42' to each side of the equation. 42 + -42 + 8y = -30 + -42 Combine like terms: 42 + -42 = 0 0 + 8y = -30 + -42 8y = -30 + -42 Combine like terms: -30 + -42 = -72 8y = -72 Divide each side by '8'. y = -9 Simplifying y = -9
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