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Simplifying -3 = 12y + -5(2y + -3) Reorder the terms: -3 = 12y + -5(-3 + 2y) -3 = 12y + (-3 * -5 + 2y * -5) -3 = 12y + (15 + -10y) Reorder the terms: -3 = 15 + 12y + -10y Combine like terms: 12y + -10y = 2y -3 = 15 + 2y Solving -3 = 15 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -3 + -2y = 15 + 2y + -2y Combine like terms: 2y + -2y = 0 -3 + -2y = 15 + 0 -3 + -2y = 15 Add '3' to each side of the equation. -3 + 3 + -2y = 15 + 3 Combine like terms: -3 + 3 = 0 0 + -2y = 15 + 3 -2y = 15 + 3 Combine like terms: 15 + 3 = 18 -2y = 18 Divide each side by '-2'. y = -9 Simplifying y = -9
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