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Simplifying 5y + 3 = -6 + 4(1 + 3y) Reorder the terms: 3 + 5y = -6 + 4(1 + 3y) 3 + 5y = -6 + (1 * 4 + 3y * 4) 3 + 5y = -6 + (4 + 12y) Combine like terms: -6 + 4 = -2 3 + 5y = -2 + 12y Solving 3 + 5y = -2 + 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. 3 + 5y + -12y = -2 + 12y + -12y Combine like terms: 5y + -12y = -7y 3 + -7y = -2 + 12y + -12y Combine like terms: 12y + -12y = 0 3 + -7y = -2 + 0 3 + -7y = -2 Add '-3' to each side of the equation. 3 + -3 + -7y = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -7y = -2 + -3 -7y = -2 + -3 Combine like terms: -2 + -3 = -5 -7y = -5 Divide each side by '-7'. y = 0.7142857143 Simplifying y = 0.7142857143
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