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Simplifying 15(y + -4) + -2(y + -1a) + 5(y + 6) = 0 Reorder the terms: 15(-4 + y) + -2(y + -1a) + 5(y + 6) = 0 (-4 * 15 + y * 15) + -2(y + -1a) + 5(y + 6) = 0 (-60 + 15y) + -2(y + -1a) + 5(y + 6) = 0 Reorder the terms: -60 + 15y + -2(-1a + y) + 5(y + 6) = 0 -60 + 15y + (-1a * -2 + y * -2) + 5(y + 6) = 0 -60 + 15y + (2a + -2y) + 5(y + 6) = 0 Reorder the terms: -60 + 15y + 2a + -2y + 5(6 + y) = 0 -60 + 15y + 2a + -2y + (6 * 5 + y * 5) = 0 -60 + 15y + 2a + -2y + (30 + 5y) = 0 Reorder the terms: -60 + 30 + 2a + 15y + -2y + 5y = 0 Combine like terms: -60 + 30 = -30 -30 + 2a + 15y + -2y + 5y = 0 Combine like terms: 15y + -2y = 13y -30 + 2a + 13y + 5y = 0 Combine like terms: 13y + 5y = 18y -30 + 2a + 18y = 0 Solving -30 + 2a + 18y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 2a + 30 + 18y = 0 + 30 Reorder the terms: -30 + 30 + 2a + 18y = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 2a + 18y = 0 + 30 2a + 18y = 0 + 30 Combine like terms: 0 + 30 = 30 2a + 18y = 30 Add '-18y' to each side of the equation. 2a + 18y + -18y = 30 + -18y Combine like terms: 18y + -18y = 0 2a + 0 = 30 + -18y 2a = 30 + -18y Divide each side by '2'. a = 15 + -9y Simplifying a = 15 + -9y
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