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Simplifying 3y + -30 + -1(y + 28) = 3y + -1(2y + 4) Reorder the terms: 3y + -30 + -1(28 + y) = 3y + -1(2y + 4) 3y + -30 + (28 * -1 + y * -1) = 3y + -1(2y + 4) 3y + -30 + (-28 + -1y) = 3y + -1(2y + 4) Reorder the terms: -30 + -28 + 3y + -1y = 3y + -1(2y + 4) Combine like terms: -30 + -28 = -58 -58 + 3y + -1y = 3y + -1(2y + 4) Combine like terms: 3y + -1y = 2y -58 + 2y = 3y + -1(2y + 4) Reorder the terms: -58 + 2y = 3y + -1(4 + 2y) -58 + 2y = 3y + (4 * -1 + 2y * -1) -58 + 2y = 3y + (-4 + -2y) Reorder the terms: -58 + 2y = -4 + 3y + -2y Combine like terms: 3y + -2y = 1y -58 + 2y = -4 + 1y Solving -58 + 2y = -4 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -58 + 2y + -1y = -4 + 1y + -1y Combine like terms: 2y + -1y = 1y -58 + 1y = -4 + 1y + -1y Combine like terms: 1y + -1y = 0 -58 + 1y = -4 + 0 -58 + 1y = -4 Add '58' to each side of the equation. -58 + 58 + 1y = -4 + 58 Combine like terms: -58 + 58 = 0 0 + 1y = -4 + 58 1y = -4 + 58 Combine like terms: -4 + 58 = 54 1y = 54 Divide each side by '1'. y = 54 Simplifying y = 54
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