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Simplifying 8(4) = y(7) + -1y(3) Multiply 8 * 4 32 = y(7) + -1y(3) Reorder the terms for easier multiplication: 32 = 7y + -1y(3) Reorder the terms for easier multiplication: 32 = 7y + -1 * 3y Multiply -1 * 3 32 = 7y + -3y Combine like terms: 7y + -3y = 4y 32 = 4y Solving 32 = 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 32 + -4y = 4y + -4y Combine like terms: 4y + -4y = 0 32 + -4y = 0 Add '-32' to each side of the equation. 32 + -32 + -4y = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -4y = 0 + -32 -4y = 0 + -32 Combine like terms: 0 + -32 = -32 -4y = -32 Divide each side by '-4'. y = 8 Simplifying y = 8
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