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Simplifying (y + -0.5) * 3 + -4.5 = (y + 1) * 2 Reorder the terms: (-0.5 + y) * 3 + -4.5 = (y + 1) * 2 Reorder the terms for easier multiplication: 3(-0.5 + y) + -4.5 = (y + 1) * 2 (-0.5 * 3 + y * 3) + -4.5 = (y + 1) * 2 (-1.5 + 3y) + -4.5 = (y + 1) * 2 Reorder the terms: -1.5 + -4.5 + 3y = (y + 1) * 2 Combine like terms: -1.5 + -4.5 = -6 -6 + 3y = (y + 1) * 2 Reorder the terms: -6 + 3y = (1 + y) * 2 Reorder the terms for easier multiplication: -6 + 3y = 2(1 + y) -6 + 3y = (1 * 2 + y * 2) -6 + 3y = (2 + 2y) Solving -6 + 3y = 2 + 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. -6 + 3y + -2y = 2 + 2y + -2y Combine like terms: 3y + -2y = 1y -6 + 1y = 2 + 2y + -2y Combine like terms: 2y + -2y = 0 -6 + 1y = 2 + 0 -6 + 1y = 2 Add '6' to each side of the equation. -6 + 6 + 1y = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 1y = 2 + 6 1y = 2 + 6 Combine like terms: 2 + 6 = 8 1y = 8 Divide each side by '1'. y = 8 Simplifying y = 8
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