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Simplifying 5(3y + -1) + -3(12y) = 16 Reorder the terms: 5(-1 + 3y) + -3(12y) = 16 (-1 * 5 + 3y * 5) + -3(12y) = 16 (-5 + 15y) + -3(12y) = 16 Remove parenthesis around (12y) -5 + 15y + -3 * 12y = 16 Multiply -3 * 12 -5 + 15y + -36y = 16 Combine like terms: 15y + -36y = -21y -5 + -21y = 16 Solving -5 + -21y = 16 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -21y = 16 + 5 Combine like terms: -5 + 5 = 0 0 + -21y = 16 + 5 -21y = 16 + 5 Combine like terms: 16 + 5 = 21 -21y = 21 Divide each side by '-21'. y = -1 Simplifying y = -1
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