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