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Simplifying [5(2y + -3)] * 3 = 4y + -7 Reorder the terms: [5(-3 + 2y)] * 3 = 4y + -7 [(-3 * 5 + 2y * 5)] * 3 = 4y + -7 [(-15 + 10y)] * 3 = 4y + -7 Reorder the terms for easier multiplication: 3[-15 + 10y] = 4y + -7 [-15 * 3 + 10y * 3] = 4y + -7 [-45 + 30y] = 4y + -7 Reorder the terms: -45 + 30y = -7 + 4y Solving -45 + 30y = -7 + 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. -45 + 30y + -4y = -7 + 4y + -4y Combine like terms: 30y + -4y = 26y -45 + 26y = -7 + 4y + -4y Combine like terms: 4y + -4y = 0 -45 + 26y = -7 + 0 -45 + 26y = -7 Add '45' to each side of the equation. -45 + 45 + 26y = -7 + 45 Combine like terms: -45 + 45 = 0 0 + 26y = -7 + 45 26y = -7 + 45 Combine like terms: -7 + 45 = 38 26y = 38 Divide each side by '26'. y = 1.461538462 Simplifying y = 1.461538462
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