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Simplifying -5(y + 2) = 3(y + 2) Reorder the terms: -5(2 + y) = 3(y + 2) (2 * -5 + y * -5) = 3(y + 2) (-10 + -5y) = 3(y + 2) Reorder the terms: -10 + -5y = 3(2 + y) -10 + -5y = (2 * 3 + y * 3) -10 + -5y = (6 + 3y) Solving -10 + -5y = 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 + -5y + -3y = 6 + 3y + -3y Combine like terms: -5y + -3y = -8y -10 + -8y = 6 + 3y + -3y Combine like terms: 3y + -3y = 0 -10 + -8y = 6 + 0 -10 + -8y = 6 Add '10' to each side of the equation. -10 + 10 + -8y = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -8y = 6 + 10 -8y = 6 + 10 Combine like terms: 6 + 10 = 16 -8y = 16 Divide each side by '-8'. y = -2 Simplifying y = -2
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