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Simplifying 8(4 + -1y) + 10y = 6y (4 * 8 + -1y * 8) + 10y = 6y (32 + -8y) + 10y = 6y Combine like terms: -8y + 10y = 2y 32 + 2y = 6y Solving 32 + 2y = 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 32 + 2y + -6y = 6y + -6y Combine like terms: 2y + -6y = -4y 32 + -4y = 6y + -6y Combine like terms: 6y + -6y = 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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