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Simplifying 15y + -10 + 1 = 2(1y + -1) + -1y Reorder the terms: -10 + 1 + 15y = 2(1y + -1) + -1y Combine like terms: -10 + 1 = -9 -9 + 15y = 2(1y + -1) + -1y Reorder the terms: -9 + 15y = 2(-1 + 1y) + -1y -9 + 15y = (-1 * 2 + 1y * 2) + -1y -9 + 15y = (-2 + 2y) + -1y Combine like terms: 2y + -1y = 1y -9 + 15y = -2 + 1y Solving -9 + 15y = -2 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -9 + 15y + -1y = -2 + 1y + -1y Combine like terms: 15y + -1y = 14y -9 + 14y = -2 + 1y + -1y Combine like terms: 1y + -1y = 0 -9 + 14y = -2 + 0 -9 + 14y = -2 Add '9' to each side of the equation. -9 + 9 + 14y = -2 + 9 Combine like terms: -9 + 9 = 0 0 + 14y = -2 + 9 14y = -2 + 9 Combine like terms: -2 + 9 = 7 14y = 7 Divide each side by '14'. y = 0.5 Simplifying y = 0.5
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