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Simplifying 2(y + -8) = 3y + -7 Reorder the terms: 2(-8 + y) = 3y + -7 (-8 * 2 + y * 2) = 3y + -7 (-16 + 2y) = 3y + -7 Reorder the terms: -16 + 2y = -7 + 3y Solving -16 + 2y = -7 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -16 + 2y + -3y = -7 + 3y + -3y Combine like terms: 2y + -3y = -1y -16 + -1y = -7 + 3y + -3y Combine like terms: 3y + -3y = 0 -16 + -1y = -7 + 0 -16 + -1y = -7 Add '16' to each side of the equation. -16 + 16 + -1y = -7 + 16 Combine like terms: -16 + 16 = 0 0 + -1y = -7 + 16 -1y = -7 + 16 Combine like terms: -7 + 16 = 9 -1y = 9 Divide each side by '-1'. y = -9 Simplifying y = -9
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