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Simplifying 4(y + 3) = 5(y + -6) Reorder the terms: 4(3 + y) = 5(y + -6) (3 * 4 + y * 4) = 5(y + -6) (12 + 4y) = 5(y + -6) Reorder the terms: 12 + 4y = 5(-6 + y) 12 + 4y = (-6 * 5 + y * 5) 12 + 4y = (-30 + 5y) Solving 12 + 4y = -30 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 12 + 4y + -5y = -30 + 5y + -5y Combine like terms: 4y + -5y = -1y 12 + -1y = -30 + 5y + -5y Combine like terms: 5y + -5y = 0 12 + -1y = -30 + 0 12 + -1y = -30 Add '-12' to each side of the equation. 12 + -12 + -1y = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -1y = -30 + -12 -1y = -30 + -12 Combine like terms: -30 + -12 = -42 -1y = -42 Divide each side by '-1'. y = 42 Simplifying y = 42
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