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Simplifying 3y + -7 = 2(y + 4) Reorder the terms: -7 + 3y = 2(y + 4) Reorder the terms: -7 + 3y = 2(4 + y) -7 + 3y = (4 * 2 + y * 2) -7 + 3y = (8 + 2y) Solving -7 + 3y = 8 + 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. -7 + 3y + -2y = 8 + 2y + -2y Combine like terms: 3y + -2y = 1y -7 + 1y = 8 + 2y + -2y Combine like terms: 2y + -2y = 0 -7 + 1y = 8 + 0 -7 + 1y = 8 Add '7' to each side of the equation. -7 + 7 + 1y = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 1y = 8 + 7 1y = 8 + 7 Combine like terms: 8 + 7 = 15 1y = 15 Divide each side by '1'. y = 15 Simplifying y = 15
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