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Simplifying 3(y + -16) = -5 + -1y + -12 + 2y Reorder the terms: 3(-16 + y) = -5 + -1y + -12 + 2y (-16 * 3 + y * 3) = -5 + -1y + -12 + 2y (-48 + 3y) = -5 + -1y + -12 + 2y Reorder the terms: -48 + 3y = -5 + -12 + -1y + 2y Combine like terms: -5 + -12 = -17 -48 + 3y = -17 + -1y + 2y Combine like terms: -1y + 2y = 1y -48 + 3y = -17 + 1y Solving -48 + 3y = -17 + 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. -48 + 3y + -1y = -17 + 1y + -1y Combine like terms: 3y + -1y = 2y -48 + 2y = -17 + 1y + -1y Combine like terms: 1y + -1y = 0 -48 + 2y = -17 + 0 -48 + 2y = -17 Add '48' to each side of the equation. -48 + 48 + 2y = -17 + 48 Combine like terms: -48 + 48 = 0 0 + 2y = -17 + 48 2y = -17 + 48 Combine like terms: -17 + 48 = 31 2y = 31 Divide each side by '2'. y = 15.5 Simplifying y = 15.5
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