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Simplifying -61 + 10y + 2 = 3(5y + -5) + -9 Reorder the terms: -61 + 2 + 10y = 3(5y + -5) + -9 Combine like terms: -61 + 2 = -59 -59 + 10y = 3(5y + -5) + -9 Reorder the terms: -59 + 10y = 3(-5 + 5y) + -9 -59 + 10y = (-5 * 3 + 5y * 3) + -9 -59 + 10y = (-15 + 15y) + -9 Reorder the terms: -59 + 10y = -15 + -9 + 15y Combine like terms: -15 + -9 = -24 -59 + 10y = -24 + 15y Solving -59 + 10y = -24 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -59 + 10y + -15y = -24 + 15y + -15y Combine like terms: 10y + -15y = -5y -59 + -5y = -24 + 15y + -15y Combine like terms: 15y + -15y = 0 -59 + -5y = -24 + 0 -59 + -5y = -24 Add '59' to each side of the equation. -59 + 59 + -5y = -24 + 59 Combine like terms: -59 + 59 = 0 0 + -5y = -24 + 59 -5y = -24 + 59 Combine like terms: -24 + 59 = 35 -5y = 35 Divide each side by '-5'. y = -7 Simplifying y = -7
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