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Simplifying 5(y + 2) + -4(a + 5) = 0 Reorder the terms: 5(2 + y) + -4(a + 5) = 0 (2 * 5 + y * 5) + -4(a + 5) = 0 (10 + 5y) + -4(a + 5) = 0 Reorder the terms: 10 + 5y + -4(5 + a) = 0 10 + 5y + (5 * -4 + a * -4) = 0 10 + 5y + (-20 + -4a) = 0 Reorder the terms: 10 + -20 + -4a + 5y = 0 Combine like terms: 10 + -20 = -10 -10 + -4a + 5y = 0 Solving -10 + -4a + 5y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -4a + 10 + 5y = 0 + 10 Reorder the terms: -10 + 10 + -4a + 5y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -4a + 5y = 0 + 10 -4a + 5y = 0 + 10 Combine like terms: 0 + 10 = 10 -4a + 5y = 10 Add '-5y' to each side of the equation. -4a + 5y + -5y = 10 + -5y Combine like terms: 5y + -5y = 0 -4a + 0 = 10 + -5y -4a = 10 + -5y Divide each side by '-4'. a = -2.5 + 1.25y Simplifying a = -2.5 + 1.25y
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