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Simplifying -4y + -38 = 5(y + 5) Reorder the terms: -38 + -4y = 5(y + 5) Reorder the terms: -38 + -4y = 5(5 + y) -38 + -4y = (5 * 5 + y * 5) -38 + -4y = (25 + 5y) Solving -38 + -4y = 25 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -38 + -4y + -5y = 25 + 5y + -5y Combine like terms: -4y + -5y = -9y -38 + -9y = 25 + 5y + -5y Combine like terms: 5y + -5y = 0 -38 + -9y = 25 + 0 -38 + -9y = 25 Add '38' to each side of the equation. -38 + 38 + -9y = 25 + 38 Combine like terms: -38 + 38 = 0 0 + -9y = 25 + 38 -9y = 25 + 38 Combine like terms: 25 + 38 = 63 -9y = 63 Divide each side by '-9'. y = -7 Simplifying y = -7
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