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Simplifying 5y + 2(y + -6) = 3(y + 1) + -2 Reorder the terms: 5y + 2(-6 + y) = 3(y + 1) + -2 5y + (-6 * 2 + y * 2) = 3(y + 1) + -2 5y + (-12 + 2y) = 3(y + 1) + -2 Reorder the terms: -12 + 5y + 2y = 3(y + 1) + -2 Combine like terms: 5y + 2y = 7y -12 + 7y = 3(y + 1) + -2 Reorder the terms: -12 + 7y = 3(1 + y) + -2 -12 + 7y = (1 * 3 + y * 3) + -2 -12 + 7y = (3 + 3y) + -2 Reorder the terms: -12 + 7y = 3 + -2 + 3y Combine like terms: 3 + -2 = 1 -12 + 7y = 1 + 3y Solving -12 + 7y = 1 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -12 + 7y + -3y = 1 + 3y + -3y Combine like terms: 7y + -3y = 4y -12 + 4y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -12 + 4y = 1 + 0 -12 + 4y = 1 Add '12' to each side of the equation. -12 + 12 + 4y = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 4y = 1 + 12 4y = 1 + 12 Combine like terms: 1 + 12 = 13 4y = 13 Divide each side by '4'. y = 3.25 Simplifying y = 3.25
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