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Simplifying 5(2x + -3y) = 10x + -3y (2x * 5 + -3y * 5) = 10x + -3y (10x + -15y) = 10x + -3y Add '-10x' to each side of the equation. 10x + -10x + -15y = 10x + -10x + -3y Combine like terms: 10x + -10x = 0 0 + -15y = 10x + -10x + -3y -15y = 10x + -10x + -3y Combine like terms: 10x + -10x = 0 -15y = 0 + -3y -15y = -3y Solving -15y = -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -15y + 3y = -3y + 3y Combine like terms: -15y + 3y = -12y -12y = -3y + 3y Combine like terms: -3y + 3y = 0 -12y = 0 Divide each side by '-12'. y = 0 Simplifying y = 0
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