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Simplifying 8(y + -4) = -3y(5) Reorder the terms: 8(-4 + y) = -3y(5) (-4 * 8 + y * 8) = -3y(5) (-32 + 8y) = -3y(5) Reorder the terms for easier multiplication: -32 + 8y = -3 * 5y Multiply -3 * 5 -32 + 8y = -15y Solving -32 + 8y = -15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15y' to each side of the equation. -32 + 8y + 15y = -15y + 15y Combine like terms: 8y + 15y = 23y -32 + 23y = -15y + 15y Combine like terms: -15y + 15y = 0 -32 + 23y = 0 Add '32' to each side of the equation. -32 + 32 + 23y = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 23y = 0 + 32 23y = 0 + 32 Combine like terms: 0 + 32 = 32 23y = 32 Divide each side by '23'. y = 1.391304348 Simplifying y = 1.391304348
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