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Simplifying 3 + -5(2y + 1) = -12y Reorder the terms: 3 + -5(1 + 2y) = -12y 3 + (1 * -5 + 2y * -5) = -12y 3 + (-5 + -10y) = -12y Combine like terms: 3 + -5 = -2 -2 + -10y = -12y Solving -2 + -10y = -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. -2 + -10y + 12y = -12y + 12y Combine like terms: -10y + 12y = 2y -2 + 2y = -12y + 12y Combine like terms: -12y + 12y = 0 -2 + 2y = 0 Add '2' to each side of the equation. -2 + 2 + 2y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2y = 0 + 2 2y = 0 + 2 Combine like terms: 0 + 2 = 2 2y = 2 Divide each side by '2'. y = 1 Simplifying y = 1
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