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Simplifying 12y + -3 = 5(2y + 1) Reorder the terms: -3 + 12y = 5(2y + 1) Reorder the terms: -3 + 12y = 5(1 + 2y) -3 + 12y = (1 * 5 + 2y * 5) -3 + 12y = (5 + 10y) Solving -3 + 12y = 5 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -3 + 12y + -10y = 5 + 10y + -10y Combine like terms: 12y + -10y = 2y -3 + 2y = 5 + 10y + -10y Combine like terms: 10y + -10y = 0 -3 + 2y = 5 + 0 -3 + 2y = 5 Add '3' to each side of the equation. -3 + 3 + 2y = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 2y = 5 + 3 2y = 5 + 3 Combine like terms: 5 + 3 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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