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Simplifying 2(5y + -6) = 5(3y + 6) Reorder the terms: 2(-6 + 5y) = 5(3y + 6) (-6 * 2 + 5y * 2) = 5(3y + 6) (-12 + 10y) = 5(3y + 6) Reorder the terms: -12 + 10y = 5(6 + 3y) -12 + 10y = (6 * 5 + 3y * 5) -12 + 10y = (30 + 15y) Solving -12 + 10y = 30 + 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 + 10y + -15y = 30 + 15y + -15y Combine like terms: 10y + -15y = -5y -12 + -5y = 30 + 15y + -15y Combine like terms: 15y + -15y = 0 -12 + -5y = 30 + 0 -12 + -5y = 30 Add '12' to each side of the equation. -12 + 12 + -5y = 30 + 12 Combine like terms: -12 + 12 = 0 0 + -5y = 30 + 12 -5y = 30 + 12 Combine like terms: 30 + 12 = 42 -5y = 42 Divide each side by '-5'. y = -8.4 Simplifying y = -8.4
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