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Simplifying 5y + -2y + 10 = -1(2y + 15) + y Reorder the terms: 10 + 5y + -2y = -1(2y + 15) + y Combine like terms: 5y + -2y = 3y 10 + 3y = -1(2y + 15) + y Reorder the terms: 10 + 3y = -1(15 + 2y) + y 10 + 3y = (15 * -1 + 2y * -1) + y 10 + 3y = (-15 + -2y) + y Combine like terms: -2y + y = -1y 10 + 3y = -15 + -1y Solving 10 + 3y = -15 + -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. 10 + 3y + y = -15 + -1y + y Combine like terms: 3y + y = 4y 10 + 4y = -15 + -1y + y Combine like terms: -1y + y = 0 10 + 4y = -15 + 0 10 + 4y = -15 Add '-10' to each side of the equation. 10 + -10 + 4y = -15 + -10 Combine like terms: 10 + -10 = 0 0 + 4y = -15 + -10 4y = -15 + -10 Combine like terms: -15 + -10 = -25 4y = -25 Divide each side by '4'. y = -6.25 Simplifying y = -6.25
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