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Simplifying 3y + -5(1 + 2y) = 3 + 2(1 + -1y) 3y + (1 * -5 + 2y * -5) = 3 + 2(1 + -1y) 3y + (-5 + -10y) = 3 + 2(1 + -1y) Reorder the terms: -5 + 3y + -10y = 3 + 2(1 + -1y) Combine like terms: 3y + -10y = -7y -5 + -7y = 3 + 2(1 + -1y) -5 + -7y = 3 + (1 * 2 + -1y * 2) -5 + -7y = 3 + (2 + -2y) Combine like terms: 3 + 2 = 5 -5 + -7y = 5 + -2y Solving -5 + -7y = 5 + -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 + -7y + 2y = 5 + -2y + 2y Combine like terms: -7y + 2y = -5y -5 + -5y = 5 + -2y + 2y Combine like terms: -2y + 2y = 0 -5 + -5y = 5 + 0 -5 + -5y = 5 Add '5' to each side of the equation. -5 + 5 + -5y = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -5y = 5 + 5 -5y = 5 + 5 Combine like terms: 5 + 5 = 10 -5y = 10 Divide each side by '-5'. y = -2 Simplifying y = -2
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