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Simplifying -4y + 1 = -3(2y + 5) Reorder the terms: 1 + -4y = -3(2y + 5) Reorder the terms: 1 + -4y = -3(5 + 2y) 1 + -4y = (5 * -3 + 2y * -3) 1 + -4y = (-15 + -6y) Solving 1 + -4y = -15 + -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. 1 + -4y + 6y = -15 + -6y + 6y Combine like terms: -4y + 6y = 2y 1 + 2y = -15 + -6y + 6y Combine like terms: -6y + 6y = 0 1 + 2y = -15 + 0 1 + 2y = -15 Add '-1' to each side of the equation. 1 + -1 + 2y = -15 + -1 Combine like terms: 1 + -1 = 0 0 + 2y = -15 + -1 2y = -15 + -1 Combine like terms: -15 + -1 = -16 2y = -16 Divide each side by '2'. y = -8 Simplifying y = -8
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