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Simplifying -1(-5 + -10y) = 5(4y + 7) (-5 * -1 + -10y * -1) = 5(4y + 7) (5 + 10y) = 5(4y + 7) Reorder the terms: 5 + 10y = 5(7 + 4y) 5 + 10y = (7 * 5 + 4y * 5) 5 + 10y = (35 + 20y) Solving 5 + 10y = 35 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. 5 + 10y + -20y = 35 + 20y + -20y Combine like terms: 10y + -20y = -10y 5 + -10y = 35 + 20y + -20y Combine like terms: 20y + -20y = 0 5 + -10y = 35 + 0 5 + -10y = 35 Add '-5' to each side of the equation. 5 + -5 + -10y = 35 + -5 Combine like terms: 5 + -5 = 0 0 + -10y = 35 + -5 -10y = 35 + -5 Combine like terms: 35 + -5 = 30 -10y = 30 Divide each side by '-10'. y = -3 Simplifying y = -3
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