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Simplifying 10y + -5(1 + y) = 3(2y + -2) 10y + (1 * -5 + y * -5) = 3(2y + -2) 10y + (-5 + -5y) = 3(2y + -2) Reorder the terms: -5 + 10y + -5y = 3(2y + -2) Combine like terms: 10y + -5y = 5y -5 + 5y = 3(2y + -2) Reorder the terms: -5 + 5y = 3(-2 + 2y) -5 + 5y = (-2 * 3 + 2y * 3) -5 + 5y = (-6 + 6y) Solving -5 + 5y = -6 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -5 + 5y + -6y = -6 + 6y + -6y Combine like terms: 5y + -6y = -1y -5 + -1y = -6 + 6y + -6y Combine like terms: 6y + -6y = 0 -5 + -1y = -6 + 0 -5 + -1y = -6 Add '5' to each side of the equation. -5 + 5 + -1y = -6 + 5 Combine like terms: -5 + 5 = 0 0 + -1y = -6 + 5 -1y = -6 + 5 Combine like terms: -6 + 5 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1
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