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Simplifying 5 + 3(y + -6) = 4(y + 2) + -3 Reorder the terms: 5 + 3(-6 + y) = 4(y + 2) + -3 5 + (-6 * 3 + y * 3) = 4(y + 2) + -3 5 + (-18 + 3y) = 4(y + 2) + -3 Combine like terms: 5 + -18 = -13 -13 + 3y = 4(y + 2) + -3 Reorder the terms: -13 + 3y = 4(2 + y) + -3 -13 + 3y = (2 * 4 + y * 4) + -3 -13 + 3y = (8 + 4y) + -3 Reorder the terms: -13 + 3y = 8 + -3 + 4y Combine like terms: 8 + -3 = 5 -13 + 3y = 5 + 4y Solving -13 + 3y = 5 + 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. -13 + 3y + -4y = 5 + 4y + -4y Combine like terms: 3y + -4y = -1y -13 + -1y = 5 + 4y + -4y Combine like terms: 4y + -4y = 0 -13 + -1y = 5 + 0 -13 + -1y = 5 Add '13' to each side of the equation. -13 + 13 + -1y = 5 + 13 Combine like terms: -13 + 13 = 0 0 + -1y = 5 + 13 -1y = 5 + 13 Combine like terms: 5 + 13 = 18 -1y = 18 Divide each side by '-1'. y = -18 Simplifying y = -18
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