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Simplifying -5(y + 6) = -3y + -16 Reorder the terms: -5(6 + y) = -3y + -16 (6 * -5 + y * -5) = -3y + -16 (-30 + -5y) = -3y + -16 Reorder the terms: -30 + -5y = -16 + -3y Solving -30 + -5y = -16 + -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. -30 + -5y + 3y = -16 + -3y + 3y Combine like terms: -5y + 3y = -2y -30 + -2y = -16 + -3y + 3y Combine like terms: -3y + 3y = 0 -30 + -2y = -16 + 0 -30 + -2y = -16 Add '30' to each side of the equation. -30 + 30 + -2y = -16 + 30 Combine like terms: -30 + 30 = 0 0 + -2y = -16 + 30 -2y = -16 + 30 Combine like terms: -16 + 30 = 14 -2y = 14 Divide each side by '-2'. y = -7 Simplifying y = -7
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