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