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Simplifying 5y(-3) = 2(y + 12) Reorder the terms for easier multiplication: 5 * -3y = 2(y + 12) Multiply 5 * -3 -15y = 2(y + 12) Reorder the terms: -15y = 2(12 + y) -15y = (12 * 2 + y * 2) -15y = (24 + 2y) Solving -15y = 24 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -15y + -2y = 24 + 2y + -2y Combine like terms: -15y + -2y = -17y -17y = 24 + 2y + -2y Combine like terms: 2y + -2y = 0 -17y = 24 + 0 -17y = 24 Divide each side by '-17'. y = -1.411764706 Simplifying y = -1.411764706
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