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Simplifying 4(2y + 1) = 3(a + -4) Reorder the terms: 4(1 + 2y) = 3(a + -4) (1 * 4 + 2y * 4) = 3(a + -4) (4 + 8y) = 3(a + -4) Reorder the terms: 4 + 8y = 3(-4 + a) 4 + 8y = (-4 * 3 + a * 3) 4 + 8y = (-12 + 3a) Solving 4 + 8y = -12 + 3a Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 8y = -12 + -4 + 3a Combine like terms: 4 + -4 = 0 0 + 8y = -12 + -4 + 3a 8y = -12 + -4 + 3a Combine like terms: -12 + -4 = -16 8y = -16 + 3a Divide each side by '8'. y = -2 + 0.375a Simplifying y = -2 + 0.375a
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