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Simplifying 6(y + -5) = 18 + -2y Reorder the terms: 6(-5 + y) = 18 + -2y (-5 * 6 + y * 6) = 18 + -2y (-30 + 6y) = 18 + -2y Solving -30 + 6y = 18 + -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. -30 + 6y + 2y = 18 + -2y + 2y Combine like terms: 6y + 2y = 8y -30 + 8y = 18 + -2y + 2y Combine like terms: -2y + 2y = 0 -30 + 8y = 18 + 0 -30 + 8y = 18 Add '30' to each side of the equation. -30 + 30 + 8y = 18 + 30 Combine like terms: -30 + 30 = 0 0 + 8y = 18 + 30 8y = 18 + 30 Combine like terms: 18 + 30 = 48 8y = 48 Divide each side by '8'. y = 6 Simplifying y = 6
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