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Simplifying -10y + 3(5y + -4) = -22 + -5(2 + -3y) Reorder the terms: -10y + 3(-4 + 5y) = -22 + -5(2 + -3y) -10y + (-4 * 3 + 5y * 3) = -22 + -5(2 + -3y) -10y + (-12 + 15y) = -22 + -5(2 + -3y) Reorder the terms: -12 + -10y + 15y = -22 + -5(2 + -3y) Combine like terms: -10y + 15y = 5y -12 + 5y = -22 + -5(2 + -3y) -12 + 5y = -22 + (2 * -5 + -3y * -5) -12 + 5y = -22 + (-10 + 15y) Combine like terms: -22 + -10 = -32 -12 + 5y = -32 + 15y Solving -12 + 5y = -32 + 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. -12 + 5y + -15y = -32 + 15y + -15y Combine like terms: 5y + -15y = -10y -12 + -10y = -32 + 15y + -15y Combine like terms: 15y + -15y = 0 -12 + -10y = -32 + 0 -12 + -10y = -32 Add '12' to each side of the equation. -12 + 12 + -10y = -32 + 12 Combine like terms: -12 + 12 = 0 0 + -10y = -32 + 12 -10y = -32 + 12 Combine like terms: -32 + 12 = -20 -10y = -20 Divide each side by '-10'. y = 2 Simplifying y = 2
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