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Simplifying -10 = -5y + 3(y + -8) Reorder the terms: -10 = -5y + 3(-8 + y) -10 = -5y + (-8 * 3 + y * 3) -10 = -5y + (-24 + 3y) Reorder the terms: -10 = -24 + -5y + 3y Combine like terms: -5y + 3y = -2y -10 = -24 + -2y Solving -10 = -24 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -10 + 2y = -24 + -2y + 2y Combine like terms: -2y + 2y = 0 -10 + 2y = -24 + 0 -10 + 2y = -24 Add '10' to each side of the equation. -10 + 10 + 2y = -24 + 10 Combine like terms: -10 + 10 = 0 0 + 2y = -24 + 10 2y = -24 + 10 Combine like terms: -24 + 10 = -14 2y = -14 Divide each side by '2'. y = -7 Simplifying y = -7
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