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Simplifying -69 + 2Y + 2 = 2(5Y + -3) + -5 Reorder the terms: -69 + 2 + 2Y = 2(5Y + -3) + -5 Combine like terms: -69 + 2 = -67 -67 + 2Y = 2(5Y + -3) + -5 Reorder the terms: -67 + 2Y = 2(-3 + 5Y) + -5 -67 + 2Y = (-3 * 2 + 5Y * 2) + -5 -67 + 2Y = (-6 + 10Y) + -5 Reorder the terms: -67 + 2Y = -6 + -5 + 10Y Combine like terms: -6 + -5 = -11 -67 + 2Y = -11 + 10Y Solving -67 + 2Y = -11 + 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. -67 + 2Y + -10Y = -11 + 10Y + -10Y Combine like terms: 2Y + -10Y = -8Y -67 + -8Y = -11 + 10Y + -10Y Combine like terms: 10Y + -10Y = 0 -67 + -8Y = -11 + 0 -67 + -8Y = -11 Add '67' to each side of the equation. -67 + 67 + -8Y = -11 + 67 Combine like terms: -67 + 67 = 0 0 + -8Y = -11 + 67 -8Y = -11 + 67 Combine like terms: -11 + 67 = 56 -8Y = 56 Divide each side by '-8'. Y = -7 Simplifying Y = -7
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