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Simplifying -6y + 2 = -42(2y + 3) Reorder the terms: 2 + -6y = -42(2y + 3) Reorder the terms: 2 + -6y = -42(3 + 2y) 2 + -6y = (3 * -42 + 2y * -42) 2 + -6y = (-126 + -84y) Solving 2 + -6y = -126 + -84y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '84y' to each side of the equation. 2 + -6y + 84y = -126 + -84y + 84y Combine like terms: -6y + 84y = 78y 2 + 78y = -126 + -84y + 84y Combine like terms: -84y + 84y = 0 2 + 78y = -126 + 0 2 + 78y = -126 Add '-2' to each side of the equation. 2 + -2 + 78y = -126 + -2 Combine like terms: 2 + -2 = 0 0 + 78y = -126 + -2 78y = -126 + -2 Combine like terms: -126 + -2 = -128 78y = -128 Divide each side by '78'. y = -1.641025641 Simplifying y = -1.641025641
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