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Simplifying 5(y + -2) + -8 = -2(-9y + 3) + -5y Reorder the terms: 5(-2 + y) + -8 = -2(-9y + 3) + -5y (-2 * 5 + y * 5) + -8 = -2(-9y + 3) + -5y (-10 + 5y) + -8 = -2(-9y + 3) + -5y Reorder the terms: -10 + -8 + 5y = -2(-9y + 3) + -5y Combine like terms: -10 + -8 = -18 -18 + 5y = -2(-9y + 3) + -5y Reorder the terms: -18 + 5y = -2(3 + -9y) + -5y -18 + 5y = (3 * -2 + -9y * -2) + -5y -18 + 5y = (-6 + 18y) + -5y Combine like terms: 18y + -5y = 13y -18 + 5y = -6 + 13y Solving -18 + 5y = -6 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. -18 + 5y + -13y = -6 + 13y + -13y Combine like terms: 5y + -13y = -8y -18 + -8y = -6 + 13y + -13y Combine like terms: 13y + -13y = 0 -18 + -8y = -6 + 0 -18 + -8y = -6 Add '18' to each side of the equation. -18 + 18 + -8y = -6 + 18 Combine like terms: -18 + 18 = 0 0 + -8y = -6 + 18 -8y = -6 + 18 Combine like terms: -6 + 18 = 12 -8y = 12 Divide each side by '-8'. y = -1.5 Simplifying y = -1.5
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