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Simplifying 7y + 3(y + -6) = 2(y + 2) + -5 Reorder the terms: 7y + 3(-6 + y) = 2(y + 2) + -5 7y + (-6 * 3 + y * 3) = 2(y + 2) + -5 7y + (-18 + 3y) = 2(y + 2) + -5 Reorder the terms: -18 + 7y + 3y = 2(y + 2) + -5 Combine like terms: 7y + 3y = 10y -18 + 10y = 2(y + 2) + -5 Reorder the terms: -18 + 10y = 2(2 + y) + -5 -18 + 10y = (2 * 2 + y * 2) + -5 -18 + 10y = (4 + 2y) + -5 Reorder the terms: -18 + 10y = 4 + -5 + 2y Combine like terms: 4 + -5 = -1 -18 + 10y = -1 + 2y Solving -18 + 10y = -1 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -18 + 10y + -2y = -1 + 2y + -2y Combine like terms: 10y + -2y = 8y -18 + 8y = -1 + 2y + -2y Combine like terms: 2y + -2y = 0 -18 + 8y = -1 + 0 -18 + 8y = -1 Add '18' to each side of the equation. -18 + 18 + 8y = -1 + 18 Combine like terms: -18 + 18 = 0 0 + 8y = -1 + 18 8y = -1 + 18 Combine like terms: -1 + 18 = 17 8y = 17 Divide each side by '8'. y = 2.125 Simplifying y = 2.125
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