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Simplifying 8(4 + -1y) + y = -18 + -6y (4 * 8 + -1y * 8) + y = -18 + -6y (32 + -8y) + y = -18 + -6y Combine like terms: -8y + y = -7y 32 + -7y = -18 + -6y Solving 32 + -7y = -18 + -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 + -7y + 6y = -18 + -6y + 6y Combine like terms: -7y + 6y = -1y 32 + -1y = -18 + -6y + 6y Combine like terms: -6y + 6y = 0 32 + -1y = -18 + 0 32 + -1y = -18 Add '-32' to each side of the equation. 32 + -32 + -1y = -18 + -32 Combine like terms: 32 + -32 = 0 0 + -1y = -18 + -32 -1y = -18 + -32 Combine like terms: -18 + -32 = -50 -1y = -50 Divide each side by '-1'. y = 50 Simplifying y = 50
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