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Simplifying 7 + -6(4 + -1y) = -18 + -2y 7 + (4 * -6 + -1y * -6) = -18 + -2y 7 + (-24 + 6y) = -18 + -2y Combine like terms: 7 + -24 = -17 -17 + 6y = -18 + -2y Solving -17 + 6y = -18 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -17 + 6y + 2y = -18 + -2y + 2y Combine like terms: 6y + 2y = 8y -17 + 8y = -18 + -2y + 2y Combine like terms: -2y + 2y = 0 -17 + 8y = -18 + 0 -17 + 8y = -18 Add '17' to each side of the equation. -17 + 17 + 8y = -18 + 17 Combine like terms: -17 + 17 = 0 0 + 8y = -18 + 17 8y = -18 + 17 Combine like terms: -18 + 17 = -1 8y = -1 Divide each side by '8'. y = -0.125 Simplifying y = -0.125
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