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Simplifying -1.5(y + 4) = -0.3(y + 1) Reorder the terms: -1.5(4 + y) = -0.3(y + 1) (4 * -1.5 + y * -1.5) = -0.3(y + 1) (-6 + -1.5y) = -0.3(y + 1) Reorder the terms: -6 + -1.5y = -0.3(1 + y) -6 + -1.5y = (1 * -0.3 + y * -0.3) -6 + -1.5y = (-0.3 + -0.3y) Solving -6 + -1.5y = -0.3 + -0.3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.3y' to each side of the equation. -6 + -1.5y + 0.3y = -0.3 + -0.3y + 0.3y Combine like terms: -1.5y + 0.3y = -1.2y -6 + -1.2y = -0.3 + -0.3y + 0.3y Combine like terms: -0.3y + 0.3y = 0.0 -6 + -1.2y = -0.3 + 0.0 -6 + -1.2y = -0.3 Add '6' to each side of the equation. -6 + 6 + -1.2y = -0.3 + 6 Combine like terms: -6 + 6 = 0 0 + -1.2y = -0.3 + 6 -1.2y = -0.3 + 6 Combine like terms: -0.3 + 6 = 5.7 -1.2y = 5.7 Divide each side by '-1.2'. y = -4.75 Simplifying y = -4.75
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