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Simplifying 3(2y + 5) = 2(5y + -2) Reorder the terms: 3(5 + 2y) = 2(5y + -2) (5 * 3 + 2y * 3) = 2(5y + -2) (15 + 6y) = 2(5y + -2) Reorder the terms: 15 + 6y = 2(-2 + 5y) 15 + 6y = (-2 * 2 + 5y * 2) 15 + 6y = (-4 + 10y) Solving 15 + 6y = -4 + 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. 15 + 6y + -10y = -4 + 10y + -10y Combine like terms: 6y + -10y = -4y 15 + -4y = -4 + 10y + -10y Combine like terms: 10y + -10y = 0 15 + -4y = -4 + 0 15 + -4y = -4 Add '-15' to each side of the equation. 15 + -15 + -4y = -4 + -15 Combine like terms: 15 + -15 = 0 0 + -4y = -4 + -15 -4y = -4 + -15 Combine like terms: -4 + -15 = -19 -4y = -19 Divide each side by '-4'. y = 4.75 Simplifying y = 4.75
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