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Simplifying -2(y + 5) = 3(y + -2) Reorder the terms: -2(5 + y) = 3(y + -2) (5 * -2 + y * -2) = 3(y + -2) (-10 + -2y) = 3(y + -2) Reorder the terms: -10 + -2y = 3(-2 + y) -10 + -2y = (-2 * 3 + y * 3) -10 + -2y = (-6 + 3y) Solving -10 + -2y = -6 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -10 + -2y + -3y = -6 + 3y + -3y Combine like terms: -2y + -3y = -5y -10 + -5y = -6 + 3y + -3y Combine like terms: 3y + -3y = 0 -10 + -5y = -6 + 0 -10 + -5y = -6 Add '10' to each side of the equation. -10 + 10 + -5y = -6 + 10 Combine like terms: -10 + 10 = 0 0 + -5y = -6 + 10 -5y = -6 + 10 Combine like terms: -6 + 10 = 4 -5y = 4 Divide each side by '-5'. y = -0.8 Simplifying y = -0.8
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