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Simplifying 3(2y + 1) + -5(12y + -7) = 42y + 30 Reorder the terms: 3(1 + 2y) + -5(12y + -7) = 42y + 30 (1 * 3 + 2y * 3) + -5(12y + -7) = 42y + 30 (3 + 6y) + -5(12y + -7) = 42y + 30 Reorder the terms: 3 + 6y + -5(-7 + 12y) = 42y + 30 3 + 6y + (-7 * -5 + 12y * -5) = 42y + 30 3 + 6y + (35 + -60y) = 42y + 30 Reorder the terms: 3 + 35 + 6y + -60y = 42y + 30 Combine like terms: 3 + 35 = 38 38 + 6y + -60y = 42y + 30 Combine like terms: 6y + -60y = -54y 38 + -54y = 42y + 30 Reorder the terms: 38 + -54y = 30 + 42y Solving 38 + -54y = 30 + 42y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-42y' to each side of the equation. 38 + -54y + -42y = 30 + 42y + -42y Combine like terms: -54y + -42y = -96y 38 + -96y = 30 + 42y + -42y Combine like terms: 42y + -42y = 0 38 + -96y = 30 + 0 38 + -96y = 30 Add '-38' to each side of the equation. 38 + -38 + -96y = 30 + -38 Combine like terms: 38 + -38 = 0 0 + -96y = 30 + -38 -96y = 30 + -38 Combine like terms: 30 + -38 = -8 -96y = -8 Divide each side by '-96'. y = 0.08333333333 Simplifying y = 0.08333333333
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