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Simplifying -5y + 12 = 3(4y + -8) Reorder the terms: 12 + -5y = 3(4y + -8) Reorder the terms: 12 + -5y = 3(-8 + 4y) 12 + -5y = (-8 * 3 + 4y * 3) 12 + -5y = (-24 + 12y) Solving 12 + -5y = -24 + 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. 12 + -5y + -12y = -24 + 12y + -12y Combine like terms: -5y + -12y = -17y 12 + -17y = -24 + 12y + -12y Combine like terms: 12y + -12y = 0 12 + -17y = -24 + 0 12 + -17y = -24 Add '-12' to each side of the equation. 12 + -12 + -17y = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -17y = -24 + -12 -17y = -24 + -12 Combine like terms: -24 + -12 = -36 -17y = -36 Divide each side by '-17'. y = 2.117647059 Simplifying y = 2.117647059
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