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Simplifying -5y + -13 = -1(y + -8) Reorder the terms: -13 + -5y = -1(y + -8) Reorder the terms: -13 + -5y = -1(-8 + y) -13 + -5y = (-8 * -1 + y * -1) -13 + -5y = (8 + -1y) Solving -13 + -5y = 8 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -13 + -5y + y = 8 + -1y + y Combine like terms: -5y + y = -4y -13 + -4y = 8 + -1y + y Combine like terms: -1y + y = 0 -13 + -4y = 8 + 0 -13 + -4y = 8 Add '13' to each side of the equation. -13 + 13 + -4y = 8 + 13 Combine like terms: -13 + 13 = 0 0 + -4y = 8 + 13 -4y = 8 + 13 Combine like terms: 8 + 13 = 21 -4y = 21 Divide each side by '-4'. y = -5.25 Simplifying y = -5.25
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