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Simplifying 7y + -1(3y + 6) = y + 30 Reorder the terms: 7y + -1(6 + 3y) = y + 30 7y + (6 * -1 + 3y * -1) = y + 30 7y + (-6 + -3y) = y + 30 Reorder the terms: -6 + 7y + -3y = y + 30 Combine like terms: 7y + -3y = 4y -6 + 4y = y + 30 Reorder the terms: -6 + 4y = 30 + y Solving -6 + 4y = 30 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -6 + 4y + -1y = 30 + y + -1y Combine like terms: 4y + -1y = 3y -6 + 3y = 30 + y + -1y Combine like terms: y + -1y = 0 -6 + 3y = 30 + 0 -6 + 3y = 30 Add '6' to each side of the equation. -6 + 6 + 3y = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 3y = 30 + 6 3y = 30 + 6 Combine like terms: 30 + 6 = 36 3y = 36 Divide each side by '3'. y = 12 Simplifying y = 12
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