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Simplifying 15 + -1(-10(y + -10)) = 4y + -1(y + -5) Reorder the terms: 15 + -1(-10(-10 + y)) = 4y + -1(y + -5) 15 + -1((-10 * -10 + y * -10)) = 4y + -1(y + -5) 15 + -1((100 + -10y)) = 4y + -1(y + -5) 15 + (100 * -1 + -10y * -1) = 4y + -1(y + -5) 15 + (-100 + 10y) = 4y + -1(y + -5) Combine like terms: 15 + -100 = -85 -85 + 10y = 4y + -1(y + -5) Reorder the terms: -85 + 10y = 4y + -1(-5 + y) -85 + 10y = 4y + (-5 * -1 + y * -1) -85 + 10y = 4y + (5 + -1y) Reorder the terms: -85 + 10y = 5 + 4y + -1y Combine like terms: 4y + -1y = 3y -85 + 10y = 5 + 3y Solving -85 + 10y = 5 + 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. -85 + 10y + -3y = 5 + 3y + -3y Combine like terms: 10y + -3y = 7y -85 + 7y = 5 + 3y + -3y Combine like terms: 3y + -3y = 0 -85 + 7y = 5 + 0 -85 + 7y = 5 Add '85' to each side of the equation. -85 + 85 + 7y = 5 + 85 Combine like terms: -85 + 85 = 0 0 + 7y = 5 + 85 7y = 5 + 85 Combine like terms: 5 + 85 = 90 7y = 90 Divide each side by '7'. y = 12.85714286 Simplifying y = 12.85714286
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