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Simplifying 3(2y + -4) + -1 = 4(4 + -1y) Reorder the terms: 3(-4 + 2y) + -1 = 4(4 + -1y) (-4 * 3 + 2y * 3) + -1 = 4(4 + -1y) (-12 + 6y) + -1 = 4(4 + -1y) Reorder the terms: -12 + -1 + 6y = 4(4 + -1y) Combine like terms: -12 + -1 = -13 -13 + 6y = 4(4 + -1y) -13 + 6y = (4 * 4 + -1y * 4) -13 + 6y = (16 + -4y) Solving -13 + 6y = 16 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -13 + 6y + 4y = 16 + -4y + 4y Combine like terms: 6y + 4y = 10y -13 + 10y = 16 + -4y + 4y Combine like terms: -4y + 4y = 0 -13 + 10y = 16 + 0 -13 + 10y = 16 Add '13' to each side of the equation. -13 + 13 + 10y = 16 + 13 Combine like terms: -13 + 13 = 0 0 + 10y = 16 + 13 10y = 16 + 13 Combine like terms: 16 + 13 = 29 10y = 29 Divide each side by '10'. y = 2.9 Simplifying y = 2.9
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