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Simplifying -114 + 8y + 5 = 6(3y + -2) + -7 Reorder the terms: -114 + 5 + 8y = 6(3y + -2) + -7 Combine like terms: -114 + 5 = -109 -109 + 8y = 6(3y + -2) + -7 Reorder the terms: -109 + 8y = 6(-2 + 3y) + -7 -109 + 8y = (-2 * 6 + 3y * 6) + -7 -109 + 8y = (-12 + 18y) + -7 Reorder the terms: -109 + 8y = -12 + -7 + 18y Combine like terms: -12 + -7 = -19 -109 + 8y = -19 + 18y Solving -109 + 8y = -19 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -109 + 8y + -18y = -19 + 18y + -18y Combine like terms: 8y + -18y = -10y -109 + -10y = -19 + 18y + -18y Combine like terms: 18y + -18y = 0 -109 + -10y = -19 + 0 -109 + -10y = -19 Add '109' to each side of the equation. -109 + 109 + -10y = -19 + 109 Combine like terms: -109 + 109 = 0 0 + -10y = -19 + 109 -10y = -19 + 109 Combine like terms: -19 + 109 = 90 -10y = 90 Divide each side by '-10'. y = -9 Simplifying y = -9
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