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Simplifying 5(y + -1) + -4y = 2y + -13 Reorder the terms: 5(-1 + y) + -4y = 2y + -13 (-1 * 5 + y * 5) + -4y = 2y + -13 (-5 + 5y) + -4y = 2y + -13 Combine like terms: 5y + -4y = 1y -5 + 1y = 2y + -13 Reorder the terms: -5 + 1y = -13 + 2y Solving -5 + 1y = -13 + 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. -5 + 1y + -2y = -13 + 2y + -2y Combine like terms: 1y + -2y = -1y -5 + -1y = -13 + 2y + -2y Combine like terms: 2y + -2y = 0 -5 + -1y = -13 + 0 -5 + -1y = -13 Add '5' to each side of the equation. -5 + 5 + -1y = -13 + 5 Combine like terms: -5 + 5 = 0 0 + -1y = -13 + 5 -1y = -13 + 5 Combine like terms: -13 + 5 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8
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