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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 = -12y 38 + -12y = 30 + -42y + 42y Combine like terms: -42y + 42y = 0 38 + -12y = 30 + 0 38 + -12y = 30 Add '-38' to each side of the equation. 38 + -38 + -12y = 30 + -38 Combine like terms: 38 + -38 = 0 0 + -12y = 30 + -38 -12y = 30 + -38 Combine like terms: 30 + -38 = -8 -12y = -8 Divide each side by '-12'. y = 0.6666666667 Simplifying y = 0.6666666667
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