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Simplifying 5(-2 + -3y) = 4(3 + -1y) (-2 * 5 + -3y * 5) = 4(3 + -1y) (-10 + -15y) = 4(3 + -1y) -10 + -15y = (3 * 4 + -1y * 4) -10 + -15y = (12 + -4y) Solving -10 + -15y = 12 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -10 + -15y + 4y = 12 + -4y + 4y Combine like terms: -15y + 4y = -11y -10 + -11y = 12 + -4y + 4y Combine like terms: -4y + 4y = 0 -10 + -11y = 12 + 0 -10 + -11y = 12 Add '10' to each side of the equation. -10 + 10 + -11y = 12 + 10 Combine like terms: -10 + 10 = 0 0 + -11y = 12 + 10 -11y = 12 + 10 Combine like terms: 12 + 10 = 22 -11y = 22 Divide each side by '-11'. y = -2 Simplifying y = -2
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