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Simplifying 6(6y + -2) + 19 = 3(2y + 3) + 4 Reorder the terms: 6(-2 + 6y) + 19 = 3(2y + 3) + 4 (-2 * 6 + 6y * 6) + 19 = 3(2y + 3) + 4 (-12 + 36y) + 19 = 3(2y + 3) + 4 Reorder the terms: -12 + 19 + 36y = 3(2y + 3) + 4 Combine like terms: -12 + 19 = 7 7 + 36y = 3(2y + 3) + 4 Reorder the terms: 7 + 36y = 3(3 + 2y) + 4 7 + 36y = (3 * 3 + 2y * 3) + 4 7 + 36y = (9 + 6y) + 4 Reorder the terms: 7 + 36y = 9 + 4 + 6y Combine like terms: 9 + 4 = 13 7 + 36y = 13 + 6y Solving 7 + 36y = 13 + 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. 7 + 36y + -6y = 13 + 6y + -6y Combine like terms: 36y + -6y = 30y 7 + 30y = 13 + 6y + -6y Combine like terms: 6y + -6y = 0 7 + 30y = 13 + 0 7 + 30y = 13 Add '-7' to each side of the equation. 7 + -7 + 30y = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 30y = 13 + -7 30y = 13 + -7 Combine like terms: 13 + -7 = 6 30y = 6 Divide each side by '30'. y = 0.2 Simplifying y = 0.2
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