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Simplifying 3(2y + -4) = 5(y + 7) Reorder the terms: 3(-4 + 2y) = 5(y + 7) (-4 * 3 + 2y * 3) = 5(y + 7) (-12 + 6y) = 5(y + 7) Reorder the terms: -12 + 6y = 5(7 + y) -12 + 6y = (7 * 5 + y * 5) -12 + 6y = (35 + 5y) Solving -12 + 6y = 35 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -12 + 6y + -5y = 35 + 5y + -5y Combine like terms: 6y + -5y = 1y -12 + 1y = 35 + 5y + -5y Combine like terms: 5y + -5y = 0 -12 + 1y = 35 + 0 -12 + 1y = 35 Add '12' to each side of the equation. -12 + 12 + 1y = 35 + 12 Combine like terms: -12 + 12 = 0 0 + 1y = 35 + 12 1y = 35 + 12 Combine like terms: 35 + 12 = 47 1y = 47 Divide each side by '1'. y = 47 Simplifying y = 47
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