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Simplifying -4 + -6(4) = -4(2y + 3) Multiply -6 * 4 -4 + -24 = -4(2y + 3) Combine like terms: -4 + -24 = -28 -28 = -4(2y + 3) Reorder the terms: -28 = -4(3 + 2y) -28 = (3 * -4 + 2y * -4) -28 = (-12 + -8y) Solving -28 = -12 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -28 + 8y = -12 + -8y + 8y Combine like terms: -8y + 8y = 0 -28 + 8y = -12 + 0 -28 + 8y = -12 Add '28' to each side of the equation. -28 + 28 + 8y = -12 + 28 Combine like terms: -28 + 28 = 0 0 + 8y = -12 + 28 8y = -12 + 28 Combine like terms: -12 + 28 = 16 8y = 16 Divide each side by '8'. y = 2 Simplifying y = 2
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