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Simplifying 10y + -2(1 + y) = 3(y + -2) + -20 10y + (1 * -2 + y * -2) = 3(y + -2) + -20 10y + (-2 + -2y) = 3(y + -2) + -20 Reorder the terms: -2 + 10y + -2y = 3(y + -2) + -20 Combine like terms: 10y + -2y = 8y -2 + 8y = 3(y + -2) + -20 Reorder the terms: -2 + 8y = 3(-2 + y) + -20 -2 + 8y = (-2 * 3 + y * 3) + -20 -2 + 8y = (-6 + 3y) + -20 Reorder the terms: -2 + 8y = -6 + -20 + 3y Combine like terms: -6 + -20 = -26 -2 + 8y = -26 + 3y Solving -2 + 8y = -26 + 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. -2 + 8y + -3y = -26 + 3y + -3y Combine like terms: 8y + -3y = 5y -2 + 5y = -26 + 3y + -3y Combine like terms: 3y + -3y = 0 -2 + 5y = -26 + 0 -2 + 5y = -26 Add '2' to each side of the equation. -2 + 2 + 5y = -26 + 2 Combine like terms: -2 + 2 = 0 0 + 5y = -26 + 2 5y = -26 + 2 Combine like terms: -26 + 2 = -24 5y = -24 Divide each side by '5'. y = -4.8 Simplifying y = -4.8
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