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Simplifying -5(y + -2) = 7 + -4y Reorder the terms: -5(-2 + y) = 7 + -4y (-2 * -5 + y * -5) = 7 + -4y (10 + -5y) = 7 + -4y Solving 10 + -5y = 7 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 10 + -5y + 4y = 7 + -4y + 4y Combine like terms: -5y + 4y = -1y 10 + -1y = 7 + -4y + 4y Combine like terms: -4y + 4y = 0 10 + -1y = 7 + 0 10 + -1y = 7 Add '-10' to each side of the equation. 10 + -10 + -1y = 7 + -10 Combine like terms: 10 + -10 = 0 0 + -1y = 7 + -10 -1y = 7 + -10 Combine like terms: 7 + -10 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3
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