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Simplifying -21 = 3y + 6(y + 7) Reorder the terms: -21 = 3y + 6(7 + y) -21 = 3y + (7 * 6 + y * 6) -21 = 3y + (42 + 6y) Reorder the terms: -21 = 42 + 3y + 6y Combine like terms: 3y + 6y = 9y -21 = 42 + 9y Solving -21 = 42 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -21 + -9y = 42 + 9y + -9y Combine like terms: 9y + -9y = 0 -21 + -9y = 42 + 0 -21 + -9y = 42 Add '21' to each side of the equation. -21 + 21 + -9y = 42 + 21 Combine like terms: -21 + 21 = 0 0 + -9y = 42 + 21 -9y = 42 + 21 Combine like terms: 42 + 21 = 63 -9y = 63 Divide each side by '-9'. y = -7 Simplifying y = -7
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