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Simplifying 8y + -5(2y + -3) = 4(y + -3) + 18 Reorder the terms: 8y + -5(-3 + 2y) = 4(y + -3) + 18 8y + (-3 * -5 + 2y * -5) = 4(y + -3) + 18 8y + (15 + -10y) = 4(y + -3) + 18 Reorder the terms: 15 + 8y + -10y = 4(y + -3) + 18 Combine like terms: 8y + -10y = -2y 15 + -2y = 4(y + -3) + 18 Reorder the terms: 15 + -2y = 4(-3 + y) + 18 15 + -2y = (-3 * 4 + y * 4) + 18 15 + -2y = (-12 + 4y) + 18 Reorder the terms: 15 + -2y = -12 + 18 + 4y Combine like terms: -12 + 18 = 6 15 + -2y = 6 + 4y Solving 15 + -2y = 6 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 15 + -2y + -4y = 6 + 4y + -4y Combine like terms: -2y + -4y = -6y 15 + -6y = 6 + 4y + -4y Combine like terms: 4y + -4y = 0 15 + -6y = 6 + 0 15 + -6y = 6 Add '-15' to each side of the equation. 15 + -15 + -6y = 6 + -15 Combine like terms: 15 + -15 = 0 0 + -6y = 6 + -15 -6y = 6 + -15 Combine like terms: 6 + -15 = -9 -6y = -9 Divide each side by '-6'. y = 1.5 Simplifying y = 1.5
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