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Simplifying -10(y + -5) + -10 = -4y + -1(y + -5) Reorder the terms: -10(-5 + y) + -10 = -4y + -1(y + -5) (-5 * -10 + y * -10) + -10 = -4y + -1(y + -5) (50 + -10y) + -10 = -4y + -1(y + -5) Reorder the terms: 50 + -10 + -10y = -4y + -1(y + -5) Combine like terms: 50 + -10 = 40 40 + -10y = -4y + -1(y + -5) Reorder the terms: 40 + -10y = -4y + -1(-5 + y) 40 + -10y = -4y + (-5 * -1 + y * -1) 40 + -10y = -4y + (5 + -1y) Reorder the terms: 40 + -10y = 5 + -4y + -1y Combine like terms: -4y + -1y = -5y 40 + -10y = 5 + -5y Solving 40 + -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. 40 + -10y + 5y = 5 + -5y + 5y Combine like terms: -10y + 5y = -5y 40 + -5y = 5 + -5y + 5y Combine like terms: -5y + 5y = 0 40 + -5y = 5 + 0 40 + -5y = 5 Add '-40' to each side of the equation. 40 + -40 + -5y = 5 + -40 Combine like terms: 40 + -40 = 0 0 + -5y = 5 + -40 -5y = 5 + -40 Combine like terms: 5 + -40 = -35 -5y = -35 Divide each side by '-5'. y = 7 Simplifying y = 7
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