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Simplifying -8 + 1 = 3(y + 2) + -2y + -15 Combine like terms: -8 + 1 = -7 -7 = 3(y + 2) + -2y + -15 Reorder the terms: -7 = 3(2 + y) + -2y + -15 -7 = (2 * 3 + y * 3) + -2y + -15 -7 = (6 + 3y) + -2y + -15 Reorder the terms: -7 = 6 + -15 + 3y + -2y Combine like terms: 6 + -15 = -9 -7 = -9 + 3y + -2y Combine like terms: 3y + -2y = 1y -7 = -9 + 1y Solving -7 = -9 + 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. -7 + -1y = -9 + 1y + -1y Combine like terms: 1y + -1y = 0 -7 + -1y = -9 + 0 -7 + -1y = -9 Add '7' to each side of the equation. -7 + 7 + -1y = -9 + 7 Combine like terms: -7 + 7 = 0 0 + -1y = -9 + 7 -1y = -9 + 7 Combine like terms: -9 + 7 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2
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