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Simplifying [5(2y + -3)] = 4y + -7 Reorder the terms: [5(-3 + 2y)] = 4y + -7 [(-3 * 5 + 2y * 5)] = 4y + -7 [(-15 + 10y)] = 4y + -7 [-15 + 10y] = 4y + -7 Remove brackets around [-15 + 10y] -15 + 10y = 4y + -7 Reorder the terms: -15 + 10y = -7 + 4y Solving -15 + 10y = -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. -15 + 10y + -4y = -7 + 4y + -4y Combine like terms: 10y + -4y = 6y -15 + 6y = -7 + 4y + -4y Combine like terms: 4y + -4y = 0 -15 + 6y = -7 + 0 -15 + 6y = -7 Add '15' to each side of the equation. -15 + 15 + 6y = -7 + 15 Combine like terms: -15 + 15 = 0 0 + 6y = -7 + 15 6y = -7 + 15 Combine like terms: -7 + 15 = 8 6y = 8 Divide each side by '6'. y = 1.333333333 Simplifying y = 1.333333333
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