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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 = 18y 3 + 5y = 4 + 18y Solving 3 + 5y = 4 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. 3 + 5y + -18y = 4 + 18y + -18y Combine like terms: 5y + -18y = -13y 3 + -13y = 4 + 18y + -18y Combine like terms: 18y + -18y = 0 3 + -13y = 4 + 0 3 + -13y = 4 Add '-3' to each side of the equation. 3 + -3 + -13y = 4 + -3 Combine like terms: 3 + -3 = 0 0 + -13y = 4 + -3 -13y = 4 + -3 Combine like terms: 4 + -3 = 1 -13y = 1 Divide each side by '-13'. y = -0.07692307692 Simplifying y = -0.07692307692
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