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Simplifying -1(5y + 7) + -1(-4y + 8) = -7 Reorder the terms: -1(7 + 5y) + -1(-4y + 8) = -7 (7 * -1 + 5y * -1) + -1(-4y + 8) = -7 (-7 + -5y) + -1(-4y + 8) = -7 Reorder the terms: -7 + -5y + -1(8 + -4y) = -7 -7 + -5y + (8 * -1 + -4y * -1) = -7 -7 + -5y + (-8 + 4y) = -7 Reorder the terms: -7 + -8 + -5y + 4y = -7 Combine like terms: -7 + -8 = -15 -15 + -5y + 4y = -7 Combine like terms: -5y + 4y = -1y -15 + -1y = -7 Solving -15 + -1y = -7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1y = -7 + 15 Combine like terms: -15 + 15 = 0 0 + -1y = -7 + 15 -1y = -7 + 15 Combine like terms: -7 + 15 = 8 -1y = 8 Divide each side by '-1'. y = -8 Simplifying y = -8
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