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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 = 115 115 + -10y = -4y + -1(y + -5) Reorder the terms: 115 + -10y = -4y + -1(-5 + y) 115 + -10y = -4y + (-5 * -1 + y * -1) 115 + -10y = -4y + (5 + -1y) Reorder the terms: 115 + -10y = 5 + -4y + -1y Combine like terms: -4y + -1y = -5y 115 + -10y = 5 + -5y Solving 115 + -10y = 5 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 115 + -10y + 5y = 5 + -5y + 5y Combine like terms: -10y + 5y = -5y 115 + -5y = 5 + -5y + 5y Combine like terms: -5y + 5y = 0 115 + -5y = 5 + 0 115 + -5y = 5 Add '-115' to each side of the equation. 115 + -115 + -5y = 5 + -115 Combine like terms: 115 + -115 = 0 0 + -5y = 5 + -115 -5y = 5 + -115 Combine like terms: 5 + -115 = -110 -5y = -110 Divide each side by '-5'. y = 22 Simplifying y = 22
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