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Simplifying 7y + 3(y + -5) = (y + 1) + -3 Reorder the terms: 7y + 3(-5 + y) = (y + 1) + -3 7y + (-5 * 3 + y * 3) = (y + 1) + -3 7y + (-15 + 3y) = (y + 1) + -3 Reorder the terms: -15 + 7y + 3y = (y + 1) + -3 Combine like terms: 7y + 3y = 10y -15 + 10y = (y + 1) + -3 Reorder the terms: -15 + 10y = (1 + y) + -3 Remove parenthesis around (1 + y) -15 + 10y = 1 + y + -3 Reorder the terms: -15 + 10y = 1 + -3 + y Combine like terms: 1 + -3 = -2 -15 + 10y = -2 + y Solving -15 + 10y = -2 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -15 + 10y + -1y = -2 + y + -1y Combine like terms: 10y + -1y = 9y -15 + 9y = -2 + y + -1y Combine like terms: y + -1y = 0 -15 + 9y = -2 + 0 -15 + 9y = -2 Add '15' to each side of the equation. -15 + 15 + 9y = -2 + 15 Combine like terms: -15 + 15 = 0 0 + 9y = -2 + 15 9y = -2 + 15 Combine like terms: -2 + 15 = 13 9y = 13 Divide each side by '9'. y = 1.444444444 Simplifying y = 1.444444444
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