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Simplifying 7y + 3(y + -5) = 6(y + 1) + -4 Reorder the terms: 7y + 3(-5 + y) = 6(y + 1) + -4 7y + (-5 * 3 + y * 3) = 6(y + 1) + -4 7y + (-15 + 3y) = 6(y + 1) + -4 Reorder the terms: -15 + 7y + 3y = 6(y + 1) + -4 Combine like terms: 7y + 3y = 10y -15 + 10y = 6(y + 1) + -4 Reorder the terms: -15 + 10y = 6(1 + y) + -4 -15 + 10y = (1 * 6 + y * 6) + -4 -15 + 10y = (6 + 6y) + -4 Reorder the terms: -15 + 10y = 6 + -4 + 6y Combine like terms: 6 + -4 = 2 -15 + 10y = 2 + 6y Solving -15 + 10y = 2 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -15 + 10y + -6y = 2 + 6y + -6y Combine like terms: 10y + -6y = 4y -15 + 4y = 2 + 6y + -6y Combine like terms: 6y + -6y = 0 -15 + 4y = 2 + 0 -15 + 4y = 2 Add '15' to each side of the equation. -15 + 15 + 4y = 2 + 15 Combine like terms: -15 + 15 = 0 0 + 4y = 2 + 15 4y = 2 + 15 Combine like terms: 2 + 15 = 17 4y = 17 Divide each side by '4'. y = 4.25 Simplifying y = 4.25
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