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Simplifying 3(y + -2) + -2y = 5(y + 4) + -7(y + -2) Reorder the terms: 3(-2 + y) + -2y = 5(y + 4) + -7(y + -2) (-2 * 3 + y * 3) + -2y = 5(y + 4) + -7(y + -2) (-6 + 3y) + -2y = 5(y + 4) + -7(y + -2) Combine like terms: 3y + -2y = 1y -6 + 1y = 5(y + 4) + -7(y + -2) Reorder the terms: -6 + 1y = 5(4 + y) + -7(y + -2) -6 + 1y = (4 * 5 + y * 5) + -7(y + -2) -6 + 1y = (20 + 5y) + -7(y + -2) Reorder the terms: -6 + 1y = 20 + 5y + -7(-2 + y) -6 + 1y = 20 + 5y + (-2 * -7 + y * -7) -6 + 1y = 20 + 5y + (14 + -7y) Reorder the terms: -6 + 1y = 20 + 14 + 5y + -7y Combine like terms: 20 + 14 = 34 -6 + 1y = 34 + 5y + -7y Combine like terms: 5y + -7y = -2y -6 + 1y = 34 + -2y Solving -6 + 1y = 34 + -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. -6 + 1y + 2y = 34 + -2y + 2y Combine like terms: 1y + 2y = 3y -6 + 3y = 34 + -2y + 2y Combine like terms: -2y + 2y = 0 -6 + 3y = 34 + 0 -6 + 3y = 34 Add '6' to each side of the equation. -6 + 6 + 3y = 34 + 6 Combine like terms: -6 + 6 = 0 0 + 3y = 34 + 6 3y = 34 + 6 Combine like terms: 34 + 6 = 40 3y = 40 Divide each side by '3'. y = 13.33333333 Simplifying y = 13.33333333
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