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Simplifying -5y + 3 = 3(4y + 12) Reorder the terms: 3 + -5y = 3(4y + 12) Reorder the terms: 3 + -5y = 3(12 + 4y) 3 + -5y = (12 * 3 + 4y * 3) 3 + -5y = (36 + 12y) Solving 3 + -5y = 36 + 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. 3 + -5y + -12y = 36 + 12y + -12y Combine like terms: -5y + -12y = -17y 3 + -17y = 36 + 12y + -12y Combine like terms: 12y + -12y = 0 3 + -17y = 36 + 0 3 + -17y = 36 Add '-3' to each side of the equation. 3 + -3 + -17y = 36 + -3 Combine like terms: 3 + -3 = 0 0 + -17y = 36 + -3 -17y = 36 + -3 Combine like terms: 36 + -3 = 33 -17y = 33 Divide each side by '-17'. y = -1.941176471 Simplifying y = -1.941176471
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