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Simplifying 10y + -5(1 + y) = (2y + -2) + -20 10y + (1 * -5 + y * -5) = (2y + -2) + -20 10y + (-5 + -5y) = (2y + -2) + -20 Reorder the terms: -5 + 10y + -5y = (2y + -2) + -20 Combine like terms: 10y + -5y = 5y -5 + 5y = (2y + -2) + -20 Reorder the terms: -5 + 5y = (-2 + 2y) + -20 Remove parenthesis around (-2 + 2y) -5 + 5y = -2 + 2y + -20 Reorder the terms: -5 + 5y = -2 + -20 + 2y Combine like terms: -2 + -20 = -22 -5 + 5y = -22 + 2y Solving -5 + 5y = -22 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -5 + 5y + -2y = -22 + 2y + -2y Combine like terms: 5y + -2y = 3y -5 + 3y = -22 + 2y + -2y Combine like terms: 2y + -2y = 0 -5 + 3y = -22 + 0 -5 + 3y = -22 Add '5' to each side of the equation. -5 + 5 + 3y = -22 + 5 Combine like terms: -5 + 5 = 0 0 + 3y = -22 + 5 3y = -22 + 5 Combine like terms: -22 + 5 = -17 3y = -17 Divide each side by '3'. y = -5.666666667 Simplifying y = -5.666666667
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