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Simplifying y + 4(5y + 3) = 12(y + 1) + 7y Reorder the terms: y + 4(3 + 5y) = 12(y + 1) + 7y y + (3 * 4 + 5y * 4) = 12(y + 1) + 7y y + (12 + 20y) = 12(y + 1) + 7y Reorder the terms: 12 + y + 20y = 12(y + 1) + 7y Combine like terms: y + 20y = 21y 12 + 21y = 12(y + 1) + 7y Reorder the terms: 12 + 21y = 12(1 + y) + 7y 12 + 21y = (1 * 12 + y * 12) + 7y 12 + 21y = (12 + 12y) + 7y Combine like terms: 12y + 7y = 19y 12 + 21y = 12 + 19y Add '-12' to each side of the equation. 12 + -12 + 21y = 12 + -12 + 19y Combine like terms: 12 + -12 = 0 0 + 21y = 12 + -12 + 19y 21y = 12 + -12 + 19y Combine like terms: 12 + -12 = 0 21y = 0 + 19y 21y = 19y Solving 21y = 19y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-19y' to each side of the equation. 21y + -19y = 19y + -19y Combine like terms: 21y + -19y = 2y 2y = 19y + -19y Combine like terms: 19y + -19y = 0 2y = 0 Divide each side by '2'. y = 0 Simplifying y = 0
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