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Simplifying -10(y + -10) + -15 = -4 + -1(y + -5) Reorder the terms: -10(-10 + y) + -15 = -4 + -1(y + -5) (-10 * -10 + y * -10) + -15 = -4 + -1(y + -5) (100 + -10y) + -15 = -4 + -1(y + -5) Reorder the terms: 100 + -15 + -10y = -4 + -1(y + -5) Combine like terms: 100 + -15 = 85 85 + -10y = -4 + -1(y + -5) Reorder the terms: 85 + -10y = -4 + -1(-5 + y) 85 + -10y = -4 + (-5 * -1 + y * -1) 85 + -10y = -4 + (5 + -1y) Combine like terms: -4 + 5 = 1 85 + -10y = 1 + -1y Solving 85 + -10y = 1 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 85 + -10y + y = 1 + -1y + y Combine like terms: -10y + y = -9y 85 + -9y = 1 + -1y + y Combine like terms: -1y + y = 0 85 + -9y = 1 + 0 85 + -9y = 1 Add '-85' to each side of the equation. 85 + -85 + -9y = 1 + -85 Combine like terms: 85 + -85 = 0 0 + -9y = 1 + -85 -9y = 1 + -85 Combine like terms: 1 + -85 = -84 -9y = -84 Divide each side by '-9'. y = 9.333333333 Simplifying y = 9.333333333
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