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Simplifying -4(7y + a) = (3 + -5y) * 3 + -4y Reorder the terms: -4(a + 7y) = (3 + -5y) * 3 + -4y (a * -4 + 7y * -4) = (3 + -5y) * 3 + -4y (-4a + -28y) = (3 + -5y) * 3 + -4y Reorder the terms for easier multiplication: -4a + -28y = 3(3 + -5y) + -4y -4a + -28y = (3 * 3 + -5y * 3) + -4y -4a + -28y = (9 + -15y) + -4y Combine like terms: -15y + -4y = -19y -4a + -28y = 9 + -19y Solving -4a + -28y = 9 + -19y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '28y' to each side of the equation. -4a + -28y + 28y = 9 + -19y + 28y Combine like terms: -28y + 28y = 0 -4a + 0 = 9 + -19y + 28y -4a = 9 + -19y + 28y Combine like terms: -19y + 28y = 9y -4a = 9 + 9y Divide each side by '-4'. a = -2.25 + -2.25y Simplifying a = -2.25 + -2.25y
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