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Simplifying 4 + -5y = 6(3 + -2y) 4 + -5y = (3 * 6 + -2y * 6) 4 + -5y = (18 + -12y) Solving 4 + -5y = 18 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. 4 + -5y + 12y = 18 + -12y + 12y Combine like terms: -5y + 12y = 7y 4 + 7y = 18 + -12y + 12y Combine like terms: -12y + 12y = 0 4 + 7y = 18 + 0 4 + 7y = 18 Add '-4' to each side of the equation. 4 + -4 + 7y = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 7y = 18 + -4 7y = 18 + -4 Combine like terms: 18 + -4 = 14 7y = 14 Divide each side by '7'. y = 2 Simplifying y = 2
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