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Simplifying -7(y + 2) = 3y + -24 Reorder the terms: -7(2 + y) = 3y + -24 (2 * -7 + y * -7) = 3y + -24 (-14 + -7y) = 3y + -24 Reorder the terms: -14 + -7y = -24 + 3y Solving -14 + -7y = -24 + 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. -14 + -7y + -3y = -24 + 3y + -3y Combine like terms: -7y + -3y = -10y -14 + -10y = -24 + 3y + -3y Combine like terms: 3y + -3y = 0 -14 + -10y = -24 + 0 -14 + -10y = -24 Add '14' to each side of the equation. -14 + 14 + -10y = -24 + 14 Combine like terms: -14 + 14 = 0 0 + -10y = -24 + 14 -10y = -24 + 14 Combine like terms: -24 + 14 = -10 -10y = -10 Divide each side by '-10'. y = 1 Simplifying y = 1
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