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Simplifying -68 + 3y + 9 = 2(5y + -2) + -6 Reorder the terms: -68 + 9 + 3y = 2(5y + -2) + -6 Combine like terms: -68 + 9 = -59 -59 + 3y = 2(5y + -2) + -6 Reorder the terms: -59 + 3y = 2(-2 + 5y) + -6 -59 + 3y = (-2 * 2 + 5y * 2) + -6 -59 + 3y = (-4 + 10y) + -6 Reorder the terms: -59 + 3y = -4 + -6 + 10y Combine like terms: -4 + -6 = -10 -59 + 3y = -10 + 10y Solving -59 + 3y = -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. -59 + 3y + -10y = -10 + 10y + -10y Combine like terms: 3y + -10y = -7y -59 + -7y = -10 + 10y + -10y Combine like terms: 10y + -10y = 0 -59 + -7y = -10 + 0 -59 + -7y = -10 Add '59' to each side of the equation. -59 + 59 + -7y = -10 + 59 Combine like terms: -59 + 59 = 0 0 + -7y = -10 + 59 -7y = -10 + 59 Combine like terms: -10 + 59 = 49 -7y = 49 Divide each side by '-7'. y = -7 Simplifying y = -7
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