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