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Simplifying 2y + -15 = 5y + -1(y + 5) Reorder the terms: -15 + 2y = 5y + -1(y + 5) Reorder the terms: -15 + 2y = 5y + -1(5 + y) -15 + 2y = 5y + (5 * -1 + y * -1) -15 + 2y = 5y + (-5 + -1y) Reorder the terms: -15 + 2y = -5 + 5y + -1y Combine like terms: 5y + -1y = 4y -15 + 2y = -5 + 4y Solving -15 + 2y = -5 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -15 + 2y + -4y = -5 + 4y + -4y Combine like terms: 2y + -4y = -2y -15 + -2y = -5 + 4y + -4y Combine like terms: 4y + -4y = 0 -15 + -2y = -5 + 0 -15 + -2y = -5 Add '15' to each side of the equation. -15 + 15 + -2y = -5 + 15 Combine like terms: -15 + 15 = 0 0 + -2y = -5 + 15 -2y = -5 + 15 Combine like terms: -5 + 15 = 10 -2y = 10 Divide each side by '-2'. y = -5 Simplifying y = -5
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