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Simplifying 5(y + -2) = 2(y + -3) + -12 Reorder the terms: 5(-2 + y) = 2(y + -3) + -12 (-2 * 5 + y * 5) = 2(y + -3) + -12 (-10 + 5y) = 2(y + -3) + -12 Reorder the terms: -10 + 5y = 2(-3 + y) + -12 -10 + 5y = (-3 * 2 + y * 2) + -12 -10 + 5y = (-6 + 2y) + -12 Reorder the terms: -10 + 5y = -6 + -12 + 2y Combine like terms: -6 + -12 = -18 -10 + 5y = -18 + 2y Solving -10 + 5y = -18 + 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. -10 + 5y + -2y = -18 + 2y + -2y Combine like terms: 5y + -2y = 3y -10 + 3y = -18 + 2y + -2y Combine like terms: 2y + -2y = 0 -10 + 3y = -18 + 0 -10 + 3y = -18 Add '10' to each side of the equation. -10 + 10 + 3y = -18 + 10 Combine like terms: -10 + 10 = 0 0 + 3y = -18 + 10 3y = -18 + 10 Combine like terms: -18 + 10 = -8 3y = -8 Divide each side by '3'. y = -2.666666667 Simplifying y = -2.666666667
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