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Simplifying 5(y + -2) + -2 = 2(y + 1) Reorder the terms: 5(-2 + y) + -2 = 2(y + 1) (-2 * 5 + y * 5) + -2 = 2(y + 1) (-10 + 5y) + -2 = 2(y + 1) Reorder the terms: -10 + -2 + 5y = 2(y + 1) Combine like terms: -10 + -2 = -12 -12 + 5y = 2(y + 1) Reorder the terms: -12 + 5y = 2(1 + y) -12 + 5y = (1 * 2 + y * 2) -12 + 5y = (2 + 2y) Solving -12 + 5y = 2 + 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. -12 + 5y + -2y = 2 + 2y + -2y Combine like terms: 5y + -2y = 3y -12 + 3y = 2 + 2y + -2y Combine like terms: 2y + -2y = 0 -12 + 3y = 2 + 0 -12 + 3y = 2 Add '12' to each side of the equation. -12 + 12 + 3y = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 3y = 2 + 12 3y = 2 + 12 Combine like terms: 2 + 12 = 14 3y = 14 Divide each side by '3'. y = 4.666666667 Simplifying y = 4.666666667
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