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Simplifying 7(2 + -1y) + 2 = 3y + -24 (2 * 7 + -1y * 7) + 2 = 3y + -24 (14 + -7y) + 2 = 3y + -24 Reorder the terms: 14 + 2 + -7y = 3y + -24 Combine like terms: 14 + 2 = 16 16 + -7y = 3y + -24 Reorder the terms: 16 + -7y = -24 + 3y Solving 16 + -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. 16 + -7y + -3y = -24 + 3y + -3y Combine like terms: -7y + -3y = -10y 16 + -10y = -24 + 3y + -3y Combine like terms: 3y + -3y = 0 16 + -10y = -24 + 0 16 + -10y = -24 Add '-16' to each side of the equation. 16 + -16 + -10y = -24 + -16 Combine like terms: 16 + -16 = 0 0 + -10y = -24 + -16 -10y = -24 + -16 Combine like terms: -24 + -16 = -40 -10y = -40 Divide each side by '-10'. y = 4 Simplifying y = 4
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