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Simplifying -32 + 8y + 9 = 2(5y + -3) + -5 Reorder the terms: -32 + 9 + 8y = 2(5y + -3) + -5 Combine like terms: -32 + 9 = -23 -23 + 8y = 2(5y + -3) + -5 Reorder the terms: -23 + 8y = 2(-3 + 5y) + -5 -23 + 8y = (-3 * 2 + 5y * 2) + -5 -23 + 8y = (-6 + 10y) + -5 Reorder the terms: -23 + 8y = -6 + -5 + 10y Combine like terms: -6 + -5 = -11 -23 + 8y = -11 + 10y Solving -23 + 8y = -11 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -23 + 8y + -10y = -11 + 10y + -10y Combine like terms: 8y + -10y = -2y -23 + -2y = -11 + 10y + -10y Combine like terms: 10y + -10y = 0 -23 + -2y = -11 + 0 -23 + -2y = -11 Add '23' to each side of the equation. -23 + 23 + -2y = -11 + 23 Combine like terms: -23 + 23 = 0 0 + -2y = -11 + 23 -2y = -11 + 23 Combine like terms: -11 + 23 = 12 -2y = 12 Divide each side by '-2'. y = -6 Simplifying y = -6
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