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Simplifying -3(2y + 1) = 2 + -5(12 + -1y) Reorder the terms: -3(1 + 2y) = 2 + -5(12 + -1y) (1 * -3 + 2y * -3) = 2 + -5(12 + -1y) (-3 + -6y) = 2 + -5(12 + -1y) -3 + -6y = 2 + (12 * -5 + -1y * -5) -3 + -6y = 2 + (-60 + 5y) Combine like terms: 2 + -60 = -58 -3 + -6y = -58 + 5y Solving -3 + -6y = -58 + 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. -3 + -6y + -5y = -58 + 5y + -5y Combine like terms: -6y + -5y = -11y -3 + -11y = -58 + 5y + -5y Combine like terms: 5y + -5y = 0 -3 + -11y = -58 + 0 -3 + -11y = -58 Add '3' to each side of the equation. -3 + 3 + -11y = -58 + 3 Combine like terms: -3 + 3 = 0 0 + -11y = -58 + 3 -11y = -58 + 3 Combine like terms: -58 + 3 = -55 -11y = -55 Divide each side by '-11'. y = 5 Simplifying y = 5
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