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Simplifying 5y + 2 = 1.5(10y + 4) Reorder the terms: 2 + 5y = 1.5(10y + 4) Reorder the terms: 2 + 5y = 1.5(4 + 10y) 2 + 5y = (4 * 1.5 + 10y * 1.5) 2 + 5y = (6 + 15y) Solving 2 + 5y = 6 + 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. 2 + 5y + -15y = 6 + 15y + -15y Combine like terms: 5y + -15y = -10y 2 + -10y = 6 + 15y + -15y Combine like terms: 15y + -15y = 0 2 + -10y = 6 + 0 2 + -10y = 6 Add '-2' to each side of the equation. 2 + -2 + -10y = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -10y = 6 + -2 -10y = 6 + -2 Combine like terms: 6 + -2 = 4 -10y = 4 Divide each side by '-10'. y = -0.4 Simplifying y = -0.4
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