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Simplifying 5y + 2(y + -6) = (y + 1) + -3 Reorder the terms: 5y + 2(-6 + y) = (y + 1) + -3 5y + (-6 * 2 + y * 2) = (y + 1) + -3 5y + (-12 + 2y) = (y + 1) + -3 Reorder the terms: -12 + 5y + 2y = (y + 1) + -3 Combine like terms: 5y + 2y = 7y -12 + 7y = (y + 1) + -3 Reorder the terms: -12 + 7y = (1 + y) + -3 Remove parenthesis around (1 + y) -12 + 7y = 1 + y + -3 Reorder the terms: -12 + 7y = 1 + -3 + y Combine like terms: 1 + -3 = -2 -12 + 7y = -2 + y Solving -12 + 7y = -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. -12 + 7y + -1y = -2 + y + -1y Combine like terms: 7y + -1y = 6y -12 + 6y = -2 + y + -1y Combine like terms: y + -1y = 0 -12 + 6y = -2 + 0 -12 + 6y = -2 Add '12' to each side of the equation. -12 + 12 + 6y = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 6y = -2 + 12 6y = -2 + 12 Combine like terms: -2 + 12 = 10 6y = 10 Divide each side by '6'. y = 1.666666667 Simplifying y = 1.666666667
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