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Simplifying 12y + 4 = 8(y + -7) Reorder the terms: 4 + 12y = 8(y + -7) Reorder the terms: 4 + 12y = 8(-7 + y) 4 + 12y = (-7 * 8 + y * 8) 4 + 12y = (-56 + 8y) Solving 4 + 12y = -56 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 4 + 12y + -8y = -56 + 8y + -8y Combine like terms: 12y + -8y = 4y 4 + 4y = -56 + 8y + -8y Combine like terms: 8y + -8y = 0 4 + 4y = -56 + 0 4 + 4y = -56 Add '-4' to each side of the equation. 4 + -4 + 4y = -56 + -4 Combine like terms: 4 + -4 = 0 0 + 4y = -56 + -4 4y = -56 + -4 Combine like terms: -56 + -4 = -60 4y = -60 Divide each side by '4'. y = -15 Simplifying y = -15
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