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Simplifying 12y + -8 = 3y + 5(3y + 5) Reorder the terms: -8 + 12y = 3y + 5(3y + 5) Reorder the terms: -8 + 12y = 3y + 5(5 + 3y) -8 + 12y = 3y + (5 * 5 + 3y * 5) -8 + 12y = 3y + (25 + 15y) Reorder the terms: -8 + 12y = 25 + 3y + 15y Combine like terms: 3y + 15y = 18y -8 + 12y = 25 + 18y Solving -8 + 12y = 25 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -8 + 12y + -18y = 25 + 18y + -18y Combine like terms: 12y + -18y = -6y -8 + -6y = 25 + 18y + -18y Combine like terms: 18y + -18y = 0 -8 + -6y = 25 + 0 -8 + -6y = 25 Add '8' to each side of the equation. -8 + 8 + -6y = 25 + 8 Combine like terms: -8 + 8 = 0 0 + -6y = 25 + 8 -6y = 25 + 8 Combine like terms: 25 + 8 = 33 -6y = 33 Divide each side by '-6'. y = -5.5 Simplifying y = -5.5
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