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Simplifying 3(y + -6) + 4 = 5(6 + 5y) Reorder the terms: 3(-6 + y) + 4 = 5(6 + 5y) (-6 * 3 + y * 3) + 4 = 5(6 + 5y) (-18 + 3y) + 4 = 5(6 + 5y) Reorder the terms: -18 + 4 + 3y = 5(6 + 5y) Combine like terms: -18 + 4 = -14 -14 + 3y = 5(6 + 5y) -14 + 3y = (6 * 5 + 5y * 5) -14 + 3y = (30 + 25y) Solving -14 + 3y = 30 + 25y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25y' to each side of the equation. -14 + 3y + -25y = 30 + 25y + -25y Combine like terms: 3y + -25y = -22y -14 + -22y = 30 + 25y + -25y Combine like terms: 25y + -25y = 0 -14 + -22y = 30 + 0 -14 + -22y = 30 Add '14' to each side of the equation. -14 + 14 + -22y = 30 + 14 Combine like terms: -14 + 14 = 0 0 + -22y = 30 + 14 -22y = 30 + 14 Combine like terms: 30 + 14 = 44 -22y = 44 Divide each side by '-22'. y = -2 Simplifying y = -2
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