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Simplifying 3y + 1 + -2(4y + -3) = -18 Reorder the terms: 3y + 1 + -2(-3 + 4y) = -18 3y + 1 + (-3 * -2 + 4y * -2) = -18 3y + 1 + (6 + -8y) = -18 Reorder the terms: 1 + 6 + 3y + -8y = -18 Combine like terms: 1 + 6 = 7 7 + 3y + -8y = -18 Combine like terms: 3y + -8y = -5y 7 + -5y = -18 Solving 7 + -5y = -18 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5y = -18 + -7 Combine like terms: 7 + -7 = 0 0 + -5y = -18 + -7 -5y = -18 + -7 Combine like terms: -18 + -7 = -25 -5y = -25 Divide each side by '-5'. y = 5 Simplifying y = 5
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