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Simplifying -4y + 8 = -1(2y + 7) Reorder the terms: 8 + -4y = -1(2y + 7) Reorder the terms: 8 + -4y = -1(7 + 2y) 8 + -4y = (7 * -1 + 2y * -1) 8 + -4y = (-7 + -2y) Solving 8 + -4y = -7 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 8 + -4y + 2y = -7 + -2y + 2y Combine like terms: -4y + 2y = -2y 8 + -2y = -7 + -2y + 2y Combine like terms: -2y + 2y = 0 8 + -2y = -7 + 0 8 + -2y = -7 Add '-8' to each side of the equation. 8 + -8 + -2y = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -2y = -7 + -8 -2y = -7 + -8 Combine like terms: -7 + -8 = -15 -2y = -15 Divide each side by '-2'. y = 7.5 Simplifying y = 7.5
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