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Simplifying 5y + -10 = 8 + -3(y + -2) Reorder the terms: -10 + 5y = 8 + -3(y + -2) Reorder the terms: -10 + 5y = 8 + -3(-2 + y) -10 + 5y = 8 + (-2 * -3 + y * -3) -10 + 5y = 8 + (6 + -3y) Combine like terms: 8 + 6 = 14 -10 + 5y = 14 + -3y Solving -10 + 5y = 14 + -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 = 14 + -3y + 3y Combine like terms: 5y + 3y = 8y -10 + 8y = 14 + -3y + 3y Combine like terms: -3y + 3y = 0 -10 + 8y = 14 + 0 -10 + 8y = 14 Add '10' to each side of the equation. -10 + 10 + 8y = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 8y = 14 + 10 8y = 14 + 10 Combine like terms: 14 + 10 = 24 8y = 24 Divide each side by '8'. y = 3 Simplifying y = 3
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