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Simplifying -37 + 3y + 7 = 2(3y + -2) + -8 Reorder the terms: -37 + 7 + 3y = 2(3y + -2) + -8 Combine like terms: -37 + 7 = -30 -30 + 3y = 2(3y + -2) + -8 Reorder the terms: -30 + 3y = 2(-2 + 3y) + -8 -30 + 3y = (-2 * 2 + 3y * 2) + -8 -30 + 3y = (-4 + 6y) + -8 Reorder the terms: -30 + 3y = -4 + -8 + 6y Combine like terms: -4 + -8 = -12 -30 + 3y = -12 + 6y Solving -30 + 3y = -12 + 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. -30 + 3y + -6y = -12 + 6y + -6y Combine like terms: 3y + -6y = -3y -30 + -3y = -12 + 6y + -6y Combine like terms: 6y + -6y = 0 -30 + -3y = -12 + 0 -30 + -3y = -12 Add '30' to each side of the equation. -30 + 30 + -3y = -12 + 30 Combine like terms: -30 + 30 = 0 0 + -3y = -12 + 30 -3y = -12 + 30 Combine like terms: -12 + 30 = 18 -3y = 18 Divide each side by '-3'. y = -6 Simplifying y = -6
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