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Simplifying -5y + -32 = 2(4y + 10) Reorder the terms: -32 + -5y = 2(4y + 10) Reorder the terms: -32 + -5y = 2(10 + 4y) -32 + -5y = (10 * 2 + 4y * 2) -32 + -5y = (20 + 8y) Solving -32 + -5y = 20 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -32 + -5y + -8y = 20 + 8y + -8y Combine like terms: -5y + -8y = -13y -32 + -13y = 20 + 8y + -8y Combine like terms: 8y + -8y = 0 -32 + -13y = 20 + 0 -32 + -13y = 20 Add '32' to each side of the equation. -32 + 32 + -13y = 20 + 32 Combine like terms: -32 + 32 = 0 0 + -13y = 20 + 32 -13y = 20 + 32 Combine like terms: 20 + 32 = 52 -13y = 52 Divide each side by '-13'. y = -4 Simplifying y = -4
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