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Simplifying -69 + 2y + 8 = 2(5y + -3) + -7 Reorder the terms: -69 + 8 + 2y = 2(5y + -3) + -7 Combine like terms: -69 + 8 = -61 -61 + 2y = 2(5y + -3) + -7 Reorder the terms: -61 + 2y = 2(-3 + 5y) + -7 -61 + 2y = (-3 * 2 + 5y * 2) + -7 -61 + 2y = (-6 + 10y) + -7 Reorder the terms: -61 + 2y = -6 + -7 + 10y Combine like terms: -6 + -7 = -13 -61 + 2y = -13 + 10y Solving -61 + 2y = -13 + 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. -61 + 2y + -10y = -13 + 10y + -10y Combine like terms: 2y + -10y = -8y -61 + -8y = -13 + 10y + -10y Combine like terms: 10y + -10y = 0 -61 + -8y = -13 + 0 -61 + -8y = -13 Add '61' to each side of the equation. -61 + 61 + -8y = -13 + 61 Combine like terms: -61 + 61 = 0 0 + -8y = -13 + 61 -8y = -13 + 61 Combine like terms: -13 + 61 = 48 -8y = 48 Divide each side by '-8'. y = -6 Simplifying y = -6
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