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Simplifying 7 + -1(2y + -5) = 7 + -3y Reorder the terms: 7 + -1(-5 + 2y) = 7 + -3y 7 + (-5 * -1 + 2y * -1) = 7 + -3y 7 + (5 + -2y) = 7 + -3y Combine like terms: 7 + 5 = 12 12 + -2y = 7 + -3y Solving 12 + -2y = 7 + -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. 12 + -2y + 3y = 7 + -3y + 3y Combine like terms: -2y + 3y = 1y 12 + 1y = 7 + -3y + 3y Combine like terms: -3y + 3y = 0 12 + 1y = 7 + 0 12 + 1y = 7 Add '-12' to each side of the equation. 12 + -12 + 1y = 7 + -12 Combine like terms: 12 + -12 = 0 0 + 1y = 7 + -12 1y = 7 + -12 Combine like terms: 7 + -12 = -5 1y = -5 Divide each side by '1'. y = -5 Simplifying y = -5
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