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Simplifying 5.4y + 1 = 6(y + -3) Reorder the terms: 1 + 5.4y = 6(y + -3) Reorder the terms: 1 + 5.4y = 6(-3 + y) 1 + 5.4y = (-3 * 6 + y * 6) 1 + 5.4y = (-18 + 6y) Solving 1 + 5.4y = -18 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 1 + 5.4y + -6y = -18 + 6y + -6y Combine like terms: 5.4y + -6y = -0.6y 1 + -0.6y = -18 + 6y + -6y Combine like terms: 6y + -6y = 0 1 + -0.6y = -18 + 0 1 + -0.6y = -18 Add '-1' to each side of the equation. 1 + -1 + -0.6y = -18 + -1 Combine like terms: 1 + -1 = 0 0 + -0.6y = -18 + -1 -0.6y = -18 + -1 Combine like terms: -18 + -1 = -19 -0.6y = -19 Divide each side by '-0.6'. y = 31.66666667 Simplifying y = 31.66666667
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