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Simplifying 7(y + 6) = 4(3y + -5) + -3 Reorder the terms: 7(6 + y) = 4(3y + -5) + -3 (6 * 7 + y * 7) = 4(3y + -5) + -3 (42 + 7y) = 4(3y + -5) + -3 Reorder the terms: 42 + 7y = 4(-5 + 3y) + -3 42 + 7y = (-5 * 4 + 3y * 4) + -3 42 + 7y = (-20 + 12y) + -3 Reorder the terms: 42 + 7y = -20 + -3 + 12y Combine like terms: -20 + -3 = -23 42 + 7y = -23 + 12y Solving 42 + 7y = -23 + 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. 42 + 7y + -12y = -23 + 12y + -12y Combine like terms: 7y + -12y = -5y 42 + -5y = -23 + 12y + -12y Combine like terms: 12y + -12y = 0 42 + -5y = -23 + 0 42 + -5y = -23 Add '-42' to each side of the equation. 42 + -42 + -5y = -23 + -42 Combine like terms: 42 + -42 = 0 0 + -5y = -23 + -42 -5y = -23 + -42 Combine like terms: -23 + -42 = -65 -5y = -65 Divide each side by '-5'. y = 13 Simplifying y = 13
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