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Simplifying 3(6y + -3) = 4(5y + -4) Reorder the terms: 3(-3 + 6y) = 4(5y + -4) (-3 * 3 + 6y * 3) = 4(5y + -4) (-9 + 18y) = 4(5y + -4) Reorder the terms: -9 + 18y = 4(-4 + 5y) -9 + 18y = (-4 * 4 + 5y * 4) -9 + 18y = (-16 + 20y) Solving -9 + 18y = -16 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -9 + 18y + -20y = -16 + 20y + -20y Combine like terms: 18y + -20y = -2y -9 + -2y = -16 + 20y + -20y Combine like terms: 20y + -20y = 0 -9 + -2y = -16 + 0 -9 + -2y = -16 Add '9' to each side of the equation. -9 + 9 + -2y = -16 + 9 Combine like terms: -9 + 9 = 0 0 + -2y = -16 + 9 -2y = -16 + 9 Combine like terms: -16 + 9 = -7 -2y = -7 Divide each side by '-2'. y = 3.5 Simplifying y = 3.5
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