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Simplifying 2(2y + 2) + -17 = 6(4y + -2) + 13 Reorder the terms: 2(2 + 2y) + -17 = 6(4y + -2) + 13 (2 * 2 + 2y * 2) + -17 = 6(4y + -2) + 13 (4 + 4y) + -17 = 6(4y + -2) + 13 Reorder the terms: 4 + -17 + 4y = 6(4y + -2) + 13 Combine like terms: 4 + -17 = -13 -13 + 4y = 6(4y + -2) + 13 Reorder the terms: -13 + 4y = 6(-2 + 4y) + 13 -13 + 4y = (-2 * 6 + 4y * 6) + 13 -13 + 4y = (-12 + 24y) + 13 Reorder the terms: -13 + 4y = -12 + 13 + 24y Combine like terms: -12 + 13 = 1 -13 + 4y = 1 + 24y Solving -13 + 4y = 1 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -13 + 4y + -24y = 1 + 24y + -24y Combine like terms: 4y + -24y = -20y -13 + -20y = 1 + 24y + -24y Combine like terms: 24y + -24y = 0 -13 + -20y = 1 + 0 -13 + -20y = 1 Add '13' to each side of the equation. -13 + 13 + -20y = 1 + 13 Combine like terms: -13 + 13 = 0 0 + -20y = 1 + 13 -20y = 1 + 13 Combine like terms: 1 + 13 = 14 -20y = 14 Divide each side by '-20'. y = -0.7 Simplifying y = -0.7
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