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Simplifying -7(1 + -4y) = 13(2y * 3) (1 * -7 + -4y * -7) = 13(2y * 3) (-7 + 28y) = 13(2y * 3) Reorder the terms for easier multiplication: -7 + 28y = 13(2 * 3y) Multiply 2 * 3 -7 + 28y = 13(6y) Remove parenthesis around (6y) -7 + 28y = 13 * 6y Multiply 13 * 6 -7 + 28y = 78y Solving -7 + 28y = 78y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-78y' to each side of the equation. -7 + 28y + -78y = 78y + -78y Combine like terms: 28y + -78y = -50y -7 + -50y = 78y + -78y Combine like terms: 78y + -78y = 0 -7 + -50y = 0 Add '7' to each side of the equation. -7 + 7 + -50y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -50y = 0 + 7 -50y = 0 + 7 Combine like terms: 0 + 7 = 7 -50y = 7 Divide each side by '-50'. y = -0.14 Simplifying y = -0.14
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