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Simplifying 7(5y + -2) + 4 = 3y + -6 Reorder the terms: 7(-2 + 5y) + 4 = 3y + -6 (-2 * 7 + 5y * 7) + 4 = 3y + -6 (-14 + 35y) + 4 = 3y + -6 Reorder the terms: -14 + 4 + 35y = 3y + -6 Combine like terms: -14 + 4 = -10 -10 + 35y = 3y + -6 Reorder the terms: -10 + 35y = -6 + 3y Solving -10 + 35y = -6 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -10 + 35y + -3y = -6 + 3y + -3y Combine like terms: 35y + -3y = 32y -10 + 32y = -6 + 3y + -3y Combine like terms: 3y + -3y = 0 -10 + 32y = -6 + 0 -10 + 32y = -6 Add '10' to each side of the equation. -10 + 10 + 32y = -6 + 10 Combine like terms: -10 + 10 = 0 0 + 32y = -6 + 10 32y = -6 + 10 Combine like terms: -6 + 10 = 4 32y = 4 Divide each side by '32'. y = 0.125 Simplifying y = 0.125
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