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Simplifying -2(y + 5) + 10 = 6y + 32 Reorder the terms: -2(5 + y) + 10 = 6y + 32 (5 * -2 + y * -2) + 10 = 6y + 32 (-10 + -2y) + 10 = 6y + 32 Reorder the terms: -10 + 10 + -2y = 6y + 32 Combine like terms: -10 + 10 = 0 0 + -2y = 6y + 32 -2y = 6y + 32 Reorder the terms: -2y = 32 + 6y Solving -2y = 32 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -2y + -6y = 32 + 6y + -6y Combine like terms: -2y + -6y = -8y -8y = 32 + 6y + -6y Combine like terms: 6y + -6y = 0 -8y = 32 + 0 -8y = 32 Divide each side by '-8'. y = -4 Simplifying y = -4
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