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Simplifying 7y + 2(y + -6) = (y + 2) + -3 Reorder the terms: 7y + 2(-6 + y) = (y + 2) + -3 7y + (-6 * 2 + y * 2) = (y + 2) + -3 7y + (-12 + 2y) = (y + 2) + -3 Reorder the terms: -12 + 7y + 2y = (y + 2) + -3 Combine like terms: 7y + 2y = 9y -12 + 9y = (y + 2) + -3 Reorder the terms: -12 + 9y = (2 + y) + -3 Remove parenthesis around (2 + y) -12 + 9y = 2 + y + -3 Reorder the terms: -12 + 9y = 2 + -3 + y Combine like terms: 2 + -3 = -1 -12 + 9y = -1 + y Solving -12 + 9y = -1 + 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 + 9y + -1y = -1 + y + -1y Combine like terms: 9y + -1y = 8y -12 + 8y = -1 + y + -1y Combine like terms: y + -1y = 0 -12 + 8y = -1 + 0 -12 + 8y = -1 Add '12' to each side of the equation. -12 + 12 + 8y = -1 + 12 Combine like terms: -12 + 12 = 0 0 + 8y = -1 + 12 8y = -1 + 12 Combine like terms: -1 + 12 = 11 8y = 11 Divide each side by '8'. y = 1.375 Simplifying y = 1.375
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