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Simplifying 5[2y + -1] + -3[4y + -6] = 7 Reorder the terms: 5[-1 + 2y] + -3[4y + -6] = 7 [-1 * 5 + 2y * 5] + -3[4y + -6] = 7 [-5 + 10y] + -3[4y + -6] = 7 Reorder the terms: -5 + 10y + -3[-6 + 4y] = 7 -5 + 10y + [-6 * -3 + 4y * -3] = 7 -5 + 10y + [18 + -12y] = 7 Reorder the terms: -5 + 18 + 10y + -12y = 7 Combine like terms: -5 + 18 = 13 13 + 10y + -12y = 7 Combine like terms: 10y + -12y = -2y 13 + -2y = 7 Solving 13 + -2y = 7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2y = 7 + -13 Combine like terms: 13 + -13 = 0 0 + -2y = 7 + -13 -2y = 7 + -13 Combine like terms: 7 + -13 = -6 -2y = -6 Divide each side by '-2'. y = 3 Simplifying y = 3
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