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Simplifying 2(y + -2) + -8 = -2(-9y + 5) + -8y Reorder the terms: 2(-2 + y) + -8 = -2(-9y + 5) + -8y (-2 * 2 + y * 2) + -8 = -2(-9y + 5) + -8y (-4 + 2y) + -8 = -2(-9y + 5) + -8y Reorder the terms: -4 + -8 + 2y = -2(-9y + 5) + -8y Combine like terms: -4 + -8 = -12 -12 + 2y = -2(-9y + 5) + -8y Reorder the terms: -12 + 2y = -2(5 + -9y) + -8y -12 + 2y = (5 * -2 + -9y * -2) + -8y -12 + 2y = (-10 + 18y) + -8y Combine like terms: 18y + -8y = 10y -12 + 2y = -10 + 10y Solving -12 + 2y = -10 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -12 + 2y + -10y = -10 + 10y + -10y Combine like terms: 2y + -10y = -8y -12 + -8y = -10 + 10y + -10y Combine like terms: 10y + -10y = 0 -12 + -8y = -10 + 0 -12 + -8y = -10 Add '12' to each side of the equation. -12 + 12 + -8y = -10 + 12 Combine like terms: -12 + 12 = 0 0 + -8y = -10 + 12 -8y = -10 + 12 Combine like terms: -10 + 12 = 2 -8y = 2 Divide each side by '-8'. y = -0.25 Simplifying y = -0.25
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